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We analyze combined effects of the geometry produced by global monopole and a concentric spherical boundary on the self-energy of a point-like scalar charged test particle at rest. We assume that the boundary is outside the monopole's core…

High Energy Physics - Theory · Physics 2012-09-17 E. R. Bezerra de Mello , A. A. Saharian

The stress tensor of a massless scalar field satisfying Robin boundary conditions on two one-dimensional wall in two-dimensional Schwarzschild background is calculated. We show that vacuum expectation value of stress tensor can be obtained…

High Energy Physics - Theory · Physics 2009-11-10 M R Setare

In this paper we evaluate the Wightman functions associated with a massive quantum scalar field in de Sitter and anti-de Sitter spacetimes in the presence of a cosmic string. Having these functions we calculate the corresponding…

High Energy Physics - Theory · Physics 2012-10-03 Eugênio R. Bezerra de Mello

We consider the effects of homogeneous Dirichlet's boundary conditions in the scalar electrodynamics with self-interaction. We have found for a critical scale of the compactification length that symmetry is restored and scalar field…

High Energy Physics - Theory · Physics 2007-05-23 J. A. Nogueira , D. Possa

We reconsider four-dimensional scalar field theory in presence of Robin boundary conditions on two parallel plates. These boundary conditions are directly imposed in the path integral definition of the theory via auxiliary fields living on…

High Energy Physics - Theory · Physics 2024-09-12 David Dudal , Aaron Gobeyn , Bruno W. Mintz , Thomas Oosthuyse , Sebbe Stouten

We discuss several aspects of quantum field theory of a scalar field in a Friedmann universe, clarifying and highlighting several conceptual and technical issues. (A) We show that one can map the dynamics of (1) a massless scalar field in a…

General Relativity and Quantum Cosmology · Physics 2019-01-17 Kinjalk Lochan , Karthik Rajeev , Amit Vikram , T. Padmanabhan

In this work I study the Casimir effect caused by a charged and massive scalar field that violates Lorentz symmetry in an aether-like and CPT even manner, by direct coupling between the field derivatives and two fixed orthogonal unit…

High Energy Physics - Theory · Physics 2025-01-07 Andrea Erdas

We study the cylinder-plate and the cylinder-cylinder Casimir interaction in the $(D+1)$-dimensional Minkowski spacetime due to the vacuum fluctuations of massless scalar fields. Different combinations of Dirichlet (D) and Neumann (N)…

High Energy Physics - Theory · Physics 2015-05-20 L. P. Teo

We discuss a free scalar field subject to generalized Wentzell boundary conditions. On the classical level, we prove well-posedness of the Cauchy problem and in particular causality. Upon quantization, we obtain a field that may naturally…

Mathematical Physics · Physics 2018-01-16 Jochen Zahn

We investigate combined effects of nontrivial topology, induced by a cosmic string, and boundaries on the fermionic condensate and the vacuum expectation value (VEV) of the energy-momentum tensor for a massive fermionic field. As geometry…

High Energy Physics - Theory · Physics 2017-06-28 A. Kh. Grigoryan , A. R. Mkrtchyan , A. A. Saharian

We use the functional integral technique of Edwards and Lenard to solve the statistical mechanics of a one dimensional Coulomb gas with boundary interactions leading to surface charging. The theory examined is a one dimensional model for a…

Statistical Mechanics · Physics 2009-10-30 D. S. Dean , R. R. Horgan , D. Sentenac

The vacuum expectation value of the surface energy-momentum tensor is evaluated for a scalar field obeying Robin boundary condition on a spherical brane in (D+1)-dimensional spacetime $Ri\times S^{D-1}$, where $Ri$ is a two-dimensional…

High Energy Physics - Theory · Physics 2008-11-26 A. A. Saharian , M. R. Setare

The Casimir energy is evaluated for massless scalar fields under Dirichlet or Neumann boundary conditions, and for the electromagnetic field with perfect conductor boundary conditions on one and two infinite parallel plates moving by…

High Energy Physics - Theory · Physics 2009-11-10 A. A. Saharian , R. S. Davtyan , A. H. Yeranyan

We compute the vacuum energy of a scalar field rotating with angular velocity $\Omega$ on a disk of radius $R$ and with Dirichlet boundary conditions. The rotation is introduced by a metric obtained by a Galilean transformation from a rest…

High Energy Physics - Theory · Physics 2025-06-09 M. Bordag , I. G. Pirozhenko

In this paper we consider a massive self-interacting scalar quantum field in a Lorentz-violation scenario based on a Horava-Lifshitz model. Specifically, we investigate the vacuum energy density and its loop correction, up to first order in…

High Energy Physics - Theory · Physics 2025-05-09 A. J. D. Farias Junior , E. R. Bezerra de Mello , Herondy Mota

We evaluate the quantum correlators associated with the Maxwell field vacuum distorted by the presence of plane parallel material surfaces. Regularization is performed through the generalized zeta funtion technique. Results are applied to a…

High Energy Physics - Theory · Physics 2007-05-23 C. Farina , J. J. Passos Sobrinho , A. C Tort

The energy-momentum tensor for a massless conformally coupled scalar field in the region between two curved boundaries in $k=-1$ static Robertson--Walker spacetime is investigated. We assume that the scalar field satisfies the Dirichlet…

High Energy Physics - Theory · Physics 2009-08-21 M R Setare , J Sadeghi

In this paper, the Quantum Brownian motion of a point particle induced by the quantum vacuum fluctuations of a real massless scalar field in Einstein universe under Dirichlet and Neumann boundary conditions is studied. Using the Wightman…

General Relativity and Quantum Cosmology · Physics 2024-10-21 E. J. B. Ferreira , H. F. Santana Mota

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

The vacuum energy density (Casimir energy) corresponding to a massless scalar quantum field living in different universes (mainly no-boundary ones), in several dimensions, is calculated. Hawking's zeta function regularization procedure…

High Energy Physics - Theory · Physics 2011-08-17 E. Elizalde