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+[
+  {
+    "title": "Vacuum polarization with zero-range potentials on a hyperplane",
+    "authors": [
+      "Davide Fermi"
+    ],
+    "abstract": "The quantum vacuum fluctuations of a neutral scalar field induced by background zero-range potentials concentrated on a flat hyperplane of co-dimension $1$ in $(d+1)$-dimensional Minkowski spacetime are investigated. Perfectly reflecting and semitransparent surfaces are both taken into account, making reference to the most general local, homogeneous and isotropic boundary conditions compatible with the unitarity of the quantum field theory. The renormalized vacuum polarization is computed for both zero and non-zero mass of the field, implementing a local version of the zeta regularization technique. The asymptotic behaviours of the vacuum polarization for small and large distances from the hyperplane are determined to leading order. It is shown that boundary divergences are soften in the specific case of a pure Dirac delta potential.",
+    "arxiv_id": "2103.13720v1",
+    "categories": [
+      "math-ph",
+      "hep-th",
+      "math.MP",
+      "quant-ph",
+      "81T55, 81T10, 81Q10"
+    ],
+    "primary_category": "math-ph",
+    "published_date": "2021-03-25T09:56:59Z",
+    "updated_date": "2021-03-25T09:56:59Z",
+    "pdf_url": "https://arxiv.org/pdf/2103.13720v1",
+    "local_pdf_path": "data\\arxiv\\pdfs\\mathematics\\2103.13720v1.pdf",
+    "comment": "",
+    "journal_ref": "",
+    "doi": ""
+  },
+  {
+    "title": "$\u03b4-\u03b4^\\prime$ generalized Robin boundary conditions and quantum   vacuum fluctuations",
+    "authors": [
+      "J. M. Munoz-Castaneda",
+      "J. Mateos Guilarte"
+    ],
+    "abstract": "The effects induced by the quantum vacuum fluctuations of one massless real scalar field on a configuration of two partially transparent plates are investigated. The physical properties of the infinitely thin plates are simulated by means of Dirac-$\\delta-\\delta^\\prime$ point interactions. It is shown that the distortion caused on the fluctuations by this external background gives rise to a generalization of Robin boundary conditions. The $T$-operator for potentials concentrated on points with non defined parity is computed with total generality. The quantum vacuum interaction energy between the two plates is computed using the $TGTG$ formula to find positive, negative, and zero Casimir energies. The parity properties of the $\\delta-\\delta^\\prime$ potential allow repulsive quantum vacuum force between identical plates.",
+    "arxiv_id": "1407.4212v3",
+    "categories": [
+      "hep-th",
+      "math-ph",
+      "math.MP",
+      "quant-ph"
+    ],
+    "primary_category": "hep-th",
+    "published_date": "2014-07-16T07:08:53Z",
+    "updated_date": "2015-01-11T13:34:46Z",
+    "pdf_url": "https://arxiv.org/pdf/1407.4212v3",
+    "local_pdf_path": "data\\arxiv\\pdfs\\mathematics\\1407.4212v3.pdf",
+    "comment": "",
+    "journal_ref": "",
+    "doi": ""
+  },
+  {
+    "title": "Zeta function regularization in Casimir effect calculations and J.S.   Dowker's contribution",
+    "authors": [
+      "Emilio Elizalde"
+    ],
+    "abstract": "A summary of relevant contributions, ordered in time, to the subject of operator zeta functions and their application to physical issues is provided. The description ends with the seminal contributions of Stephen Hawking and Stuart Dowker and collaborators, considered by many authors as the actual starting point of the introduction of zeta function regularization methods in theoretical physics, in particular, for quantum vacuum fluctuation and Casimir effect calculations. After recalling a number of the strengths of this powerful and elegant method, some of its limitations are discussed. Finally, recent results of the so called operator regularization procedure are presented.",
+    "arxiv_id": "1205.7032v1",
+    "categories": [
+      "math-ph",
+      "hep-th",
+      "math.FA",
+      "math.MP"
+    ],
+    "primary_category": "math-ph",
+    "published_date": "2012-05-31T16:20:39Z",
+    "updated_date": "2012-05-31T16:20:39Z",
+    "pdf_url": "https://arxiv.org/pdf/1205.7032v1",
+    "local_pdf_path": "data\\arxiv\\pdfs\\mathematics\\1205.7032v1.pdf",
+    "comment": "",
+    "journal_ref": "",
+    "doi": ""
+  },
+  {
+    "title": "Zeta Function Methods and Quantum Fluctuations",
+    "authors": [
+      "Emilio Elizalde"
+    ],
+    "abstract": "A review of some recent advances in zeta function techniques is given, in problems of pure mathematical nature but also as applied to the computation of quantum vacuum fluctuations in different field theories, and specially with a view to cosmological applications.",
+    "arxiv_id": "0712.1346v1",
+    "categories": [
+      "hep-th",
+      "gr-qc",
+      "math-ph",
+      "math.MP",
+      "quant-ph"
+    ],
+    "primary_category": "hep-th",
+    "published_date": "2007-12-09T16:58:03Z",
+    "updated_date": "2007-12-09T16:58:03Z",
+    "pdf_url": "https://arxiv.org/pdf/0712.1346v1",
+    "local_pdf_path": "data\\arxiv\\pdfs\\mathematics\\0712.1346v1.pdf",
+    "comment": "",
+    "journal_ref": "",
+    "doi": ""
+  },
+  {
+    "title": "Thermal behavior induced by vacuum polarization on causal horizons in   comparison with the standard heat bath formalism",
+    "authors": [
+      "Bert Schroer"
+    ],
+    "abstract": "Modular theory of operator algebras and the associated KMS property are used to obtain a unified description for the thermal aspects of the standard heat bath situation and those caused by quantum vacuum fluctuations from localization. An algebraic variant of lightfront holography reveals that the vacuum polarization on wedge horizons is compressed into the lightray direction. Their absence in the transverse direction is the prerequisite to an area (generalized Bekenstein-) behavior of entropy-like measures which reveal the loss of purity of the vacuum due to restrictions to wedges and their horizons. Besides the well-known fact that localization-induced (generalized Hawking-) temperature is fixed by the geometric aspects, this area behavior (versus the standard volume dependence) constitutes the main difference between localization-caused and standard thermal behavior.",
+    "arxiv_id": "0301107v1",
+    "categories": [
+      "hep-th",
+      "gr-qc",
+      "math-ph",
+      "math.MP",
+      "quant-ph"
+    ],
+    "primary_category": "hep-th",
+    "published_date": "2003-01-16T19:41:56Z",
+    "updated_date": "2003-01-16T19:41:56Z",
+    "pdf_url": "https://arxiv.org/pdf/0301107v1",
+    "local_pdf_path": null,
+    "comment": "",
+    "journal_ref": "",
+    "doi": ""
+  }
+]