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For the electromagnetic field in (D+1)-dimensional locally de Sitter (dS) spacetime, we analyze the effects of a generalized cosmic string type defect on the vacuum expectation value of the energy-momentum tensor. For the Bunch-Davies…

High Energy Physics - Theory · Physics 2023-06-21 A. A. Saharian , V. F. Manukyan , V. Kh. Kotanjyan , A. A. Grigoryan

We investigate quasi-free Hadamard states defined via characteristic initial data on null cones centred at the axis of symmetry in spherically symmetric space-times. We characterize the necessary singular behaviour of null boundary…

General Relativity and Quantum Cosmology · Physics 2023-01-06 Daan W. Janssen , Rainer Verch

Total vacuum energy of some quantized fields in conical space with additional boundary conditions is calculated. These conditions are imposed on a cylindrical surface which is coaxial with the symmetry axis of conical space. The explicit…

High Energy Physics - Theory · Physics 2011-08-22 V. V. Nesterenko , I. G. Pirozhenko

We briefly show how we can obtain Hamiltonians for spatially compact locally homogeneous vacuum spacetimes. The dynamical variables are categorized into the curvature parameters and the Teichm\"{u}ller parameters. While the Teichm\"{u}ller…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Masayuki Tanimoto , Tatsuhiko Koike , Akio Hosoya

In this paper we determine the one loop radiative correction to the higgs potential due to quantum fluctuations about the background metric of Randall-Sundrum model. We then examine the effects of the one loop effective potential on the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Uma Mahanta

We study the effect of cooling on the spatial distribution of the topological charge density in quenched SU(2) lattice gauge theory with overlap fermions. We show that as the gauge field configurations are cooled, the Hausdorff dimension of…

High Energy Physics - Lattice · Physics 2015-03-13 P. V. Buividovich , T. Kalaydzhyan , M. I. Polikarpov

We investigate the Casimir effect in the context of a nontrivial topology by means of a generalized Matsubara formalism. This is performed in the context of a scalar field in $D$ Euclidean spatial dimensions with $d$ compactified…

Quantum Physics · Physics 2016-08-05 Andreson L. C. Rego , C. A. Linhares , A. P. C. Malbouisson

In this work, it is shown that a non-zero vacuum energy density (the Casimir energy) for a scalar field appears in a continuous elastic solid due to the presence of a topological defect, the screw dislocation. An exact expression is…

Condensed Matter · Physics 2007-05-23 Ivan Pontual , Fernando Moraes

The Casimir stress on a spherical shell in de Sitter background for massless scalar field satisfying Dirichlet boundary conditions on the shell is calculated. The metric is written in conformally flat form. Although the metric is time…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. R. Setare , R. Mansouri

We investigate the Casimir effect as a probe of Lorentz symmetry violation for a real scalar field confined to a rectangular waveguide with Dirichlet boundary conditions. The field dynamics is governed by a Lorentz-violating extension of…

High Energy Physics - Theory · Physics 2026-03-10 M. B. Cruz , E. R. Bezerra de Mello , A. Martín-Ruiz

A Lorentz symmetry violation aether-type theoretical model is considered to investigate the Casimir effect and the generation of topological mass associated with a self-interacting massive scalar fields obeying Dirichlet, Newman and mixed…

High Energy Physics - Theory · Physics 2020-08-12 M. B. Cruz , E. R. Bezerra de Mello , H. F. Santana Mota

When one studies the Casimir effect, the periodic (anti-periodic) boundary condition is usually taken to mimic a periodic (anti-periodic) structure for a scalar field living in a flat space with a non-Euclidean topology. However, there…

High Energy Physics - Theory · Physics 2014-01-07 Chao-Jun Feng , Xin-Zhou Li , Xiang-Hua Zhai

In this paper we study the effects associated to quantum vacuum fluctuations of vectorial perturbations of the Abelian SU(2) Yang-Mills field in a static and homogeneous chromomagnetic-like background field, at zero temperature. We use…

High Energy Physics - Theory · Physics 2022-04-11 V. B. Bezerra , M. S. Cunha , C. R. Muniz , M. O. Tahim

We demonstrate that Casimir forces associated with zero-point fluctuations of quantum vacuum may be substantially affected by the presence of dynamical topological defects. In order to illustrate this nonperturbative effect we study the…

High Energy Physics - Lattice · Physics 2017-04-26 M. N. Chernodub , V. A. Goy , A. V. Molochkov

We revisit the Casimir effect for two concentric spherical shells in de Sitter background with a new geometric configuration, namely Euclidean signature between and Lorentzian signature outside the spheres with different cosmological…

General Relativity and Quantum Cosmology · Physics 2009-05-03 F. Darabi

We revisit the calculation of vacuum energy density in compact spacetimes. For the general case of $k$ compact spatial dimensions in $p+k$ dimensional Minkowski spacetime, we calculate the Casimir force on a piston placed in the presence of…

High Energy Physics - Theory · Physics 2022-10-12 S. R. Haridev , Prasant Samantray

We study the Casimir energy of four-dimensional supersymmetric gauge theories in the context of the rigid limit of new minimal supergravity. Firstly, revisiting the computation of the localized partition function on $S^1\times S^3$, we…

High Energy Physics - Theory · Physics 2015-07-09 Jakob Lorenzen , Dario Martelli

We derive a trace formula for the spectra of quantum mechanical systems in hyperbolic polygons which are the fundamental domains of discrete isometry groups acting in the two dimensional hyperboloid. Using this trace formula and the point…

High Energy Physics - Theory · Physics 2008-11-26 H. Ahmedov

A noncommutative complex scalar field, satisfying the deformed canonical commutation relations proposed by Carmona et al. [27]-[31], is constructed. Using these noncommutative deformed canonical commutation relations, a model describing the…

High Energy Physics - Theory · Physics 2012-06-19 Farid Khelili

In this paper, we consider a four-dimensional system composed of a mass-dimension-one fermionic field, also known as Elko, interacting with a real scalar field. Our main objective is to analyze the Casimir effects associated with this…

High Energy Physics - Theory · Physics 2025-12-19 A. J. D. Farias Junior , A. Smirnov , Herondy F. Santana Mota , E. R. Bezerra de Mello