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A Fermion Doublet With Chiral Gauge Interaction On A Lattice: We present a new staggered discretization of the Dirac operator. Doubling gives only a doublet of Dirac fermions which we propose to interpret as a physical (lepton or quark) doublet. If coupled with gauge fields, an $(1+\gamma^5)$ chiral interaction appears...
hep-lat
Strong-coupling effective action(s) for SU(3) Yang-Mills: We apply strong-coupling expansion techniques to finite-temperature lattice pure gauge theory, obtaining dimensionally reduced $Z_N$-symmetric effective theories. The analytic mappings between the effective couplings and the original one, viz. $\beta$, allow to ...
hep-lat
Topological susceptibility in two-flavor QCD: We compute the topological susceptibility in QCD with two flavors of dynamical fermions using numerical simulation with overlap fermions.
hep-lat
Hadron Spectrum with Wilson fermions: We present results of a high statistics study of the quenched spectrum using Wilson fermions at $\beta=6.0$ on $32^3 \times 64$ lattices. We calculate the masses of mesons and baryons composed of both degenerate and non-degenerate quarks. Using non-degenerate quark combinations all...
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Progress applying density of states for gravitational waves: Many models of composite dark matter feature a first-order confinement transition in the early Universe, which would produce a stochastic background of gravitational waves that will be searched for by future gravitational-wave observatories. We present work i...
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$I=0$ $ππ$ $s$-wave scattering length from lattice QCD: We deliver lattice results for the $I=0$ $\pi\pi$ elastic $s$-wave scattering length calculated with the MILC $N_f=3$ flavors of the Asqtad-improved staggered fermions. The scattering phase shifts are determined by L\"uscher's formula from the energy-eigenvalues o...
hep-lat
On meson spectral functions at high temperature and nonzero momentum: In the high-temperature phase of QCD meson spectral functions at nonzero momentum are expected to have a nontrivial and interesting structure. In order to provide a reference point for lattice studies employing e.g. the Maximal Entropy Method, we dis...
hep-lat
Vacuum Entanglement Harvesting in the Ising Model: The low-energy states of quantum many body systems, such as spin chains, are entangled. Using tensor network computations, we demonstrate a protocol that distills Bell pairs out of the ground state of the prototypical transverse-field Ising model. We explore the behavi...
hep-lat
Magnetic and electric screening masses from Polyakov-loop correlations: Screening properties of the quark gluon plasma are studied from Polyakov-loop correlation in lattice QCD simulations with two flavors of improved Wilson quarks at temperatures $T/\Tpc \simeq 1$--4 where $\Tpc$ is the pseudocritical temperature. Usi...
hep-lat
The quark-mass dependence of the potential energy between static colour sources in the QCD vacuum with light and strange quarks: The low-lying energy spectrum of the static-colour-source-anti-source system in a vacuum containing light and strange quarks is computed using lattice QCD for a range of different light qua...
hep-lat
Determinant Calculations Using Random Walk Worldline Loops: We use statistical ensembles of worldline loops generated by random walk on hypercubic lattices to calculate matter determinants in background Yang-Mills fields.
hep-lat
Scaling test of quenched Wilson twisted mass QCD at maximal twist: We present the results of an extended scaling test of quenched Wilson twisted mass QCD. We fix the twist angle by using two definitions of the critical mass, the first obtained by requiring the vanishing of the pseudoscalar meson mass m_PS for standard ...
hep-lat
Capillary Waves in Binder's Approach to the Interface Tension: In Binder's approach the reduced interface tension sigma of the Ising model in the broken phase is determined from the finite volume effects of the partition function Z(M) at fixed total magnetization M. For small |M| the partition function of a system of s...
hep-lat
Development of Lattice QCD Tool Kit on Cell Broadband Engine Processor: We report an implementation of a code for SU(3) matrix multiplication on Cell/B.E., which is a part of our project, Lattice Tool Kit on Cell/B.E.. On QS20, the speed of the matrix multiplication on SPE in single precision is 227GFLOPS and it become...
hep-lat
Tensor renormalization group approach to (1+1)-dimensional SU(2) principal chiral model at finite density: We apply the tensor renormalization group method to the (1+1)-dimensional SU(2) principal chiral model at finite chemical potential with the use of the Gauss-Legendre quadrature to discretize the SU(2) Lie group...
hep-lat
Color superconductivity in a small box: a complex Langevin study: It is expected that the color superconductivity (CSC) phase appears in QCD at low temperature and high density. On the basis of the lattice perturbation theory, a possible parameter region in which the CSC occurs has been predicted. In this work, we perf...
hep-lat
Surface operator study in SU(2) gauge field theory: The surface operator in an SU(2) gauge field theory is studied. We analyze Abelian projection of the SU(2) symmetry to the U(1) group calculating the surface parameter. The surface parameter dependence on the surface area and volume is studied in confinement and decon...
hep-lat
Non-Perturbative Renormalization of Lattice Four-Fermion Operators without Power Subtractions: A general non-perturbative analysis of the renormalization properties of $\Delta I=3/2$ four-fermion operators in the framework of lattice regularization with Wilson fermions is presented. We discuss the non-perturbative de...
hep-lat
Probing hadron wave functions in Lattice QCD: Gauge-invariant equal-time correlation functions are calculated in lattice QCD within the quenched approximation and with two dynamical quark species. These correlators provide information on the shape and multipole moments of the pion, the rho, the nucleon and the $\Delta$...
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The Anderson transition in QCD with $N_f=2+1+1$ twisted mass quarks: overlap analysis: Chiral Random Matrix Theory has proven to describe the spectral properties of low temperature QCD very well. However, at temperatures above the chiral symmetry restoring transition it can not provide a global description. The level...
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Determining the chiral condensate from the distribution of the winding number beyond topological susceptibility: The first two non-trivial moments of the distribution of the topological charge (or gluonic winding number), i.e., the topological susceptibility and the fourth cumulant, can be computed in lattice QCD sim...
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Semileptonic decays $B\rightarrow D^{(*)}lν$ at nonzero recoil: We have analyzed the semileptonic decays $B\rightarrow D\ell\nu$ and $B\rightarrow D^*\ell\nu$ on the full suite of MILC (2+1)-flavor asqtad ensembles with lattice spacings as small as 0.045 fm and light-to-strange-quark mass ratios as low as 1/20. We use ...
hep-lat
Beauty mesons in $N_f=2+1+1+1 $ lattice QCD with exact chiral symmetry: We present the first study of $N_f=2+1+1+1$ lattice QCD with domain-wall quarks. The $(b, c, s)$ quarks are physical, while the $(u, d)$ quarks are heavier than their physical masses, with the pion mass $ \sim 700 $ MeV. The gauge ensemble is gener...
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Improved Lattice Renormalization Group Techniques: We compute the bare step-scaling function $s_b$ for SU(3) lattice gauge theory with $N_f = 12$ massless fundamental fermions, using the non-perturbative Wilson-flow-optimized Monte Carlo Renormalization Group two-lattice matching technique. We use a short Wilson flow t...
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Instanton Distribution in Quenched and Full QCD: In order to optimize cooling as a technique to study the instanton content of the QCD vacuum, we have studied the effects of alternative algorithms, improved actions and boundary conditions on the evolution of single instantons and instanton anti-instanton pairs. Using t...
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Compactified N=1 supersymmetric Yang-Mills theory on the lattice: Continuity and the disappearance of the deconfinement transition: Fermion boundary conditions play a relevant role in revealing the confinement mechanism of N=1 supersymmetric Yang-Mills theory with one compactified space-time dimension. A deconfinemen...
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The static quark self-energy at large orders from NSPT: Using Numerical Stochastic Perturbation Theory (NSPT), we calculate the static self-energy of SU(3) gauge theory up to order \alpha^{20}. Simulations on a large set of different lattice volumes allow for a careful treatment of finite size effects. The resulting in...
hep-lat
Form and index of Ginsparg-Wilson fermions: We clarify the questions rised by a recent example of a lattice Dirac operator found by Chiu. We show that this operator belongs to a class based on the Cayley transformation and that this class on the finite lattice generally does not admit a nonvanishing index, while in the...
hep-lat
A library of extended high-temperature expansions of basic observables for the spin S Ising models on two- and three-dimensional lattices: We present an on-line library of unprecedented extension for high-temperature expansions of basic observables in the Ising models of general spin S, with nearest-neighbor interact...
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Gribov copies, Lattice QCD and the gluon propagator: We address the problem of Gribov copies in lattice QCD. The gluon propagator is computed, in the Landau gauge, using 302 ($\beta = 5.8$) $12^4$ configurations gauge fixed to different copies. The results of the simulation shows that: i) the effect of Gribov copies is...
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Quenched scalar meson correlator with Domain Wall Fermions: We study the singlet and non-singlet scalar-meson masses using domain wall fermions and the quenched approximation. The singlet mass is found to be smaller than the non-singlet mass and indicates that the lowest singlet meson state could be lighter than 1 GeV....
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The sign problem and the Lefschetz thimble: Recently, we have proposed a novel approach (arxiv:1205.3996) to deal with the sign problem that hinders Monte Carlo simulations of many quantum field theories (QFTs). The approach consists in formulating the QFT on a Lefschetz thimble. In this paper we concentrate on the app...
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Finite Temperature Phase Transition in SU(2) Lattice Gauge Theory with Extended Action: We study the three dimensional fundamental-adjoint $SU(2)$ lattice gauge theory at finite temperature by Monte Carlo simulations. We find that the finite temperature deconfinement phase transition line joins the first order bulk p...
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Investigation of Doubly Heavy Tetraquark Systems using Lattice QCD: We search for possibly existent bound states in the heavy-light tetraquark channels with quark content $ \bar{b}\bar{b}ud $, $ \bar{b}\bar{b}us $ and $ \bar{b}\bar{c}ud $ using lattice QCD. We carry out calculations on several gauge link ensembles with...
hep-lat
Width of the flux tube in compact U(1) gauge theory in three dimensions: We study the squared width and the profile of flux tubes in compact U(1) lattice gauge theory in three spacetime dimensions. The results obtained from numerical calculations in the dual formulation of this confining theory are compared with predic...
hep-lat
Ising description of the transition region in SU(3) gauge theory at finite temperature: We attempt the numerical construction of an effective action in three dimensions for Ising spins which represent the Wilson lines in the four-dimensional SU(3) gauge theory at finite temperature. For each configuration of the gaug...
hep-lat
Domain decomposition and multilevel integration for fermions: The numerical computation of many hadronic correlation functions is exceedingly difficult due to the exponentially decreasing signal-to-noise ratio with the distance between source and sink. Multilevel integration methods, using independent updates of separa...
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THE QCD ABACUS: A New Formulation for Lattice Gauge Theories: A quantum Hamiltonian is constructed for SU(3) lattice QCD entirely from color triplet Fermions --- the standard quarks and a new Fermionic ``constituent'' of the gluon we call ``rishons''. The quarks are represented by Dirac spinors on each site and the gau...
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The principle of indirect elimination: The principle of indirect elimination states that an algorithm for solving discretized differential equations can be used to identify its own bad-converging modes. When the number of bad-converging modes of the algorithm is not too large, the modes thus identified can be used to s...
hep-lat
Fermion RG blocking transformations and IR structure: We explore fermion RG block-spinning transformations on the lattice with the aim of studying the IR structure of gauge theories and, in particular, the existence of IR fixed points for varying fermion content. In the case of light fermions the main concern and diffi...
hep-lat
Onium Masses with Three Flavors of Dynamical Quarks: We have greatly extended an earlier calculation of the charmonium spectrum on three flavor dynamical quark ensembles by using more recent ensembles generated by the MILC collaboration. The heavy quarks are treated using the Fermilab formulation. The charmonium state ...
hep-lat
The Euclidean two-point correlation function of the topological charge density: We study the Euclidean two-point correlation function $G_q(x)$ of the topological charge density in QCD. A general statement based on reflection positivity tells us that $G_q(x)<0$ for $x\neq 0 $. On the other hand the topological suscept...
hep-lat
Performance of lattice QCD programs on CP-PACS: The CP-PACS is a massively parallel MIMD computer with the theoretical peak speed of 614 GFLOPS which has been developed for computational physics applications at the University of Tsukuba, Japan. We report on the performance of the CP-PACS computer measured during recent...
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Infrared behavior of the Faddeev-Popov operator in Coulomb gauge QCD: We calculate the eigenvalue distribution of the Faddeev-Popov operator in Coulomb gauge QCD using quenched SU(3) lattice simulation. In the confinement phase, the density of the low-lying eigenvalues increases with lattice volume, and the confinement...
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Understanding Parton Distributions from Lattice QCD: Present Limitations and Future Promise: This talk will explain how ground state matrix elements specifying moments of quark density and spin distributions in the nucleon have been calculated in full QCD, show how physical extrapolation to the chiral limit including...
hep-lat
(Approximate) Low-Mode Averaging with a new Multigrid Eigensolver: We present a multigrid based eigensolver for computing low-modes of the Hermitian Wilson Dirac operator. For the non-Hermitian case multigrid methods have already replaced conventional Krylov subspace solvers in many lattice QCD computations. Since the ...
hep-lat
Constraining $1+\mathcal{J}\to 2$ coupled-channel amplitudes in finite-volume: Whether one is interested in accessing the excited spectrum of hadrons or testing the standard model of particle physics, electroweak transition processes involving multi-hadron channels in the final state play an important role in a varie...
hep-lat
First experiences with HMC for dynamical overlap fermions: We describe an HMC algorithm for dynamical overlap fermions which makes use of their good chiral properties. We test the algorithm in the Schwinger model. Topological sectors are readily changed even in the massless case.
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Fixed-scale approach to finite-temperature lattice QCD with shifted boundaries: We study the thermodynamics of the SU(3) gauge theory using the fixed-scale approach with shifted boundary conditions. The fixed-scale approach can reduce the numerical cost of the zero-temperature part in the equation of state calculatio...
hep-lat
Spectrum of the Dirac Operator and Multigrid Algorithm with Dynamical Staggered Fermions: Complete spectra of the staggered Dirac operator $\Dirac$ are determined in quenched four-dimensional $SU(2)$ gauge fields, and also in the presence of dynamical fermions. Periodic as well as antiperiodic boundary conditions a...
hep-lat
Radiative improvement of the lattice NRQCD action using the background field method and application to the hyperfine splitting of quarkonium states: We present the first application of the background field method to Non-Relativistic QCD (NRQCD) on the lattice in order to determine the one-loop radiative corrections t...
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Light quark correlators in a mixed-action setup: We report our progress in simulating Neuberger valence fermions on N_f=2 Wilson O(a)-improved sea quarks. We compute correlators with valence quark masses both in the p- and in the epsilon-regime, and we match the results with the predictions of the Chiral Effective Theo...
hep-lat
Microscopic Origin of \boldmath{$U_A(1)$} Symmetry Violation in the High Temperature Phase of QCD: We investigate the low-lying eigenmodes of the Dirac matrix with the aim to gain more insight into the temperature dependence of the anomalous $U_A(1)$ symmetry. We use the overlap operator to probe dynamical QCD config...
hep-lat
The Coulomb flux tube revisited: We perform $SU(2)$ Yang-Mills lattice simulation of the electric field distribution in the Coulomb gauge for different values of $\beta$ to further investigate the nature of the Coulomb flux tube.
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Critical Behavior of the Schwinger Model with Wilson Fermions: We present a detailed analysis, in the framework of the MFA approach, of the critical behaviour of the lattice Schwinger model with Wilson fermions on lattices up to $24^2$, through the study of the Lee-Yang zeros and the specific heat. We find compelling e...
hep-lat
Lattice study of the Schwinger model at fixed topology: At small lattice spacing QCD simulations are expected to become stuck in a single topological sector. Observables evaluated in a fixed topological sector differ from their counterparts in full QCD, i.e. at unfixed topology, by volume dependent corrections. We inve...
hep-lat
The static energy of a quark-antiquark pair from Laplacian eigenmodes: We test a method for computing the static quark-antiquark potential in lattice QCD, which is not based on Wilson loops, but where the trial states are formed by eigenvector components of the covariant lattice Laplace operator. The runtime of this me...
hep-lat
Fisher's zeros as boundary of RG flows in complex coupling space: We discuss the possibility of extending the RG flows to complex coupling spaces. We argue that the Fisher's zeros are located at the boundary of the complex basin of attraction of IR fixed points. We support this picture with numerical calculations at fi...
hep-lat
A study of center and chiral symmetry realization in thermal $\mathcal{N}=1$ super Yang-Mills theory using the gradient flow: The realization of center and chiral symmetries in $\mathcal{N}=1$ super Yang-Mills theory (SYM) is investigated on a four-dimensional Euclidean lattice by means of Monte Carlo methods. At zer...
hep-lat
Lattice QCD calculation of the electroweak box diagrams for the kaon semileptonic decays: We present a lattice QCD calculation of the axial $\gamma W$-box diagrams relevant for the kaon semileptonic decays. We utilize a recently proposed method, which connects the electroweak radiative corrections in Sirlin's represe...
hep-lat
Leading order mesonic and baryonic SU(3) low energy constants from $N_f = 3$ lattice QCD: We determine the leading order mesonic~($B_0$ and $F_0$) and baryonic~($m_0$, $D$ and $F$) SU(3) chiral perturbation theory low energy constants from lattice QCD. We employ gauge ensembles with $N_f=3$ (i.e., $m_u=m_d=m_s$) non-...
hep-lat
Canonical Transformations and Loop Formulation of SU(N) Lattice Gauge Theories: We construct canonical transformations to reformulate SU(N) Kogut-Susskind lattice gauge theory in terms of a set of fundamental loop & string flux operators along with their canonically conjugate loop & string electric fields. We show th...
hep-lat
Improved actions and lattice coarsening effects in MCRG studies in SU(2) LGT: We study decimation procedures and effective (improved) actions in the framework of Monte Carlo Renormalization Group (MCRG). Particular attention is paid to matching the form of the effective action to the decimation procedure parameters. ...
hep-lat
Nucleon form factors and root-mean-square radii on a (10.8 fm$)^4$ lattice at the physical point: We present the nucleon form factors and root-mean-square (RMS) radii measured on a (10.8 fm$)^4$ lattice at the physical point. We compute the form factors at small momentum transfer region in $q^2\le 0.102$ GeV$^2$ with...
hep-lat
Derivation of Chiral Lagrangians from Random Lattice QCD: In our work we extend the ideas of the derivation of the chiral effective theory from the lattice QCD [1] to the case of the random lattice regularization of QCD. Such procedure allows in principle to find contribution of any order into the chiral effective lagr...
hep-lat
Supersymmetric Yang-Mills Theories from Domain Wall Fermions: We present work in progress on employing domain wall fermions to simulate N=1 supersymmetric Yang-Mills theories on the lattice in d=4 and d=3 dimensions. The geometrical nature of domain wall fermions gives simple insights into how to construct these theori...
hep-lat
Ginsparg-Wilson relation and lattice Weyl fermions: We demonstrate that in the topologically trivial gauge sector the Ginsparg-Wilson relation for lattice Dirac operators admits an exactly gauge invariant path integral formulation of the Weyl fermions on a lattice.
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Probing the Region of Massless Quarks in Quenched Lattice QCD using Wilson Fermions: We study the spectrum of $H(m)=\gamma_5 W(-m)$ with $W(m)$ being the Wilson-Dirac operator on the lattice with bare mass equal to $m$. The background gauge fields are generated using the SU(3) Wilson action at $\beta=5.7$ on an $8^3\...
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Comment on "The QCD axion beyond the classical level: A lattice study": We rebut the claim by Nakamura and Schierholz [1] that the mass of a potential axion needs to be no less than ~230MeV pointing out errors in both their analytic argument and numerical simulations.
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Gluon gravitational structure of hadrons of different spin: The gravitational form factors (GFFs) of hadrons encode the matrix elements of the energy momentum tensor of QCD. These quantities describe how energy, spin, and various mechanical properties of hadrons are carried by their quark and gluon constituents. We pre...
hep-lat
Spontaneous supersymmetry breaking in the two-dimensional N=1 Wess-Zumino model: We study the phase diagram of the two-dimensional N=1 Wess-Zumino model on the lattice using Wilson fermions and the fermion loop formulation. We give a complete nonperturbative determination of the ground state structure in the continuu...
hep-lat
B Meson Decay Constants Using NRQCD: Recent results for B meson decay constants with NRQCD b-quarks and clover light quarks are discussed. Perturbative matching factors through O($\alpha/M$) are now available and incorporated into the analyses. An O($\alpha a$) improvement term to the heavy-light axial current is ident...
hep-lat
Flavor Twisted Boundary Conditions, Pion Momentum, and the Pion Electromagnetic Form Factor: We investigate the utility of partially twisted boundary conditions in lattice calculations of meson observables. For dynamical simulations, we show that the pion dispersion relation is modified by volume effects. In the isos...
hep-lat
Topological susceptibility of $2d~\mathrm{CP}^1$ or $\mathrm{O}(3)$ non-linear $σ$-model: is it divergent or not?: The topological susceptibility of $2d$ $\mathrm{CP}^{N-1}$ models is expected, based on perturbative computations, to develop a divergence in the limit $N \to 2$, where these models reduce to the well-kn...
hep-lat
Monopole Loop Distribution and Confinement in SU(2) Lattice Gauge Theory: The abelian-projected monopole loop distribution is extracted from maximal abelian gauge simulations. The number of loops of a given length falls as a power of the length nearly independent of lattice size. This power increases with $\beta=4/g^2$...
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Weak Coupling Limit of U(1) Lattice Model in Fourier Basis: The transfer-matrix of the U(1) lattice model is considered in the Fourier basis and in the weak coupling limit. The issues of Gauss law constraint and gauge invariant states are addressed in the Fourier basis. In particular, it is shown that in the strong cou...
hep-lat
Running coupling in SU(2) with adjoint fermions: We present a measurement of the Schr\"odinger Functional running coupling in SU(2) lattice gauge theory with adjoint fermions. We use HEX smearing and clover improvement to reduce the discretization effects. We obtain a robust continuum limit for the step scaling, which ...
hep-lat
Spectral Analysis of Causal Dynamical Triangulations via Finite Element Method: We examine the dual graph representation of simplicial manifolds in Causal Dynamical Triangulations (CDT) as a mean to build observables, and propose a new representation based on the Finite Element Methods (FEM). In particular, with the ...
hep-lat
The dependence of observables on action parameters: Many applications in Lattice field theory require to determine the Taylor series of observables with respect to action parameters. A primary example is the determination of electromagnetic corrections to hadronic processes. We show two possible solutions to this gener...
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$ρ$ meson decay on asymmetrical lattices: We present a lattice QCD calculation of the characteristics of the $\rho$ meson decay. The study is carried out on spatially asymmetric boxes using nHYP-smeared clover fermions in the quenched approximation. The resonance mass and coupling constant are calculate using the P-wav...
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Dynamical quantum phase transitions in a noisy lattice gauge theory: Lattice gauge theories (LGTs) form an intriguing class of theories highly relevant to both high-energy particle physics and low-energy condensed matter physics with the rapid development of engineered quantum devices providing new tools to study e.g. ...
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Dynamics of the 2d Potts model phase transition: The dynamics of 2d Potts models, which are temperature driven through the phase transition using updating procedures in the Glauber universality class, is investigated. We present calculations of the hysteresis for the (internal) energy and for Fortuin-Kasteleyn clusters...
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Study of Chiral Symmetry and $U(1)_A$ using Spatial Correlators for $N_f=2+1$ QCD at finite temperature with Domain Wall Fermions: Based on simulations of 2+1 flavor lattice QCD with M\"obius domain wall fermions at high temperatures, we compute a series of spatial correlation functions to study the screening masses ...
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Decomposition of the static potential in SU(3) gluodynamics: After fixing the Maximal Abelian gauge in SU(3) lattice gluodynamics we decompose the nonabelian gauge field into the Abelian field created by Abelian monopoles and the modified nonabelian field with monopoles removed. We then calculate respective static pote...
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Higher moments of charge fluctuations in QCD at high temperature: We present lattice results for baryon number, strangeness and electric charge fluctuations as well as their correlations at finite temperature and vanishing chemical potentials, i.e. under conditions relevant for RHIC and LHC. We find that the fluctuatio...
hep-lat
SU(2) Flux Distributions on Finite Lattices: We studied SU(2) flux distributions on four dimensional euclidean lattices with one dimension very large. By choosing the time direction appropriately we can study physics in two cases: one is finite volume in the zero temperature limit, another is finite temperature in the ...
hep-lat
2018 Update on $\varepsilon_K$ with lattice QCD inputs: We present updated results for $\varepsilon_K$ determined directly from the standard model (SM) with lattice QCD inputs such as $\hat{B}_K$, $|V_{cb}|$, $|V_{us}|$, $\xi_0$, $\xi_2$, $\xi_\text{LD}$, $F_K$, and $m_c$. We find that the standard model with exclusive...
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Polarized and Unpolarized Nucleon Structure Functions from Lattice QCD: We report on a high statistics quenched lattice QCD calculation of the deep-inelastic structure functions $F_1$, $F_2$, $g_1$ and $g_2$ of the proton and neutron. The theoretical basis for the calculation is the operator product expansion. We consi...
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Negative moment of inertia and rotational instability of gluon plasma: Using first-principle numerical simulations of the lattice SU(3) gauge theory, we calculate the isothermal moment of inertia of the rigidly rotating gluon plasma. We find that the moment of inertia unexpectedly takes a negative value below the "supe...
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Coulomb gauge studies of SU(3) Yang-Mills theory on the lattice: We study the infrared behaviour of lattice SU(3) Yang-Mills theory in Coulomb gauge in terms of the ghost propagator, the Coulomb potential and the transversal and the time-time component of the equal-time gluon propagator. In particular, we focus on the ...
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Making chiral fermion actions (almost) gauge invariant using Laplacian gauge fixing: Straight foreward lattice descriptions of chiral fermions lead to actions that break gauge invariance. I describe a method to make such actions gauge invariant (up to global gauge transformations) with the aid of gauge fixing. To mak...
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Continuum Results for Light Hadronic Quantities using Domain Wall Fermions with the Iwasaki and DSDR Gauge Actions: We present preliminary continuum results for light hadronic quantities obtained by the RBC/UKQCD collaboration using domain wall fermions with both the Iwasaki and the novel Dislocation Suppressing Dete...
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Solitons and spontaneous symmetry breaking in 2 and 4 dimensions: We show that mass generation in 1+1 and 3+1 dimensions may occur together with spontaneous symmetry breaking.
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Aspects of Chiral Symmetry and the Lattice: I explore the non-perturbative issues entwining lattice gauge theory, anomalies, and chiral symmetry. After briefly reviewing the importance of chiral symmetry in particle physics, I discuss how anomalies complicate lattice formulations. Considerable information can be deduce...
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The Polyakov Loop and the Eigenvalues of the Dirac Operator: Aiming at the link between confinement and chiral symmetry the Polyakov loop represented as a spectral sum of eigenvalues of the Dirac operator was subject of recent studies. We analyze the volume dependence as well as the continuum behavior of this quantity ...
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Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude: In this article we complete our formalism relating the finite-volume energy spectrum of a scalar quantum field theory to the three-to-three scattering amplitude, ${\cal M}_3$. In previous work we found a quantiza...
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$B\to D^{(\ast)}\ellν$ at non-zero recoil: $B$ anomalies play a prominent role in Beyond the Standard Model (BSM) physics searches. In particular, the long standing tension between the inclusive and the exclusive determinations of the CKM matrix element $|V_{cb}|$ and the current tensions in the $R(D)$--$R(D^\ast)$ pla...
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Lattice QCD at non-zero baryon number: We discuss the quenched limit of lattice QCD at non-zero baryon number density. We find evidence for a mixed phase that becomes broader with increasing baryon number. Although the action is explicitly Z(3) symmetric the Polyakov loop expectation value becomes non-zero already in t...
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Lattice Gauge Fields Topology Uncovered by Quaternionic sigma-model Embedding: We investigate SU(2) gauge fields topology using new approach, which exploits the well known connection between SU(2) gauge theory and quaternionic projective sigma-models and allows to formulate the topological charge density entirely in ...
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On the fractal structure of two-dimensional quantum gravity: We provide evidence that the Hausdorff dimension is 4 and the spectral dimension is 2 for two-dimensional quantum gravity coupled the matter with a central charge $c \leq 1$. For $c > 1$ the Hausdorff dimension and the spectral dimension monotonously decrease...
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