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The Casimir energy or stress due to modes in a D-dimensional volume subject to TM (mixed) boundary conditions on a bounding spherical surface is calculated. Both interior and exterior modes are included. Together with earlier results found…

High Energy Physics - Theory · Physics 2009-10-30 Kimball A. Milton

In this work, a massive scalar field theory incorporating Lorentz violation is investigated. The symmetry breaking is introduced via a background traceless antisymmetric tensor. Within the framework of Thermo Field Dynamics (TFD), the…

High Energy Physics - Theory · Physics 2026-01-05 D. S. Cabral , L. H. A. R. Ferreira , L. A. S. Evangelista , A. F. Santos

Theory of Supersymmetric Quantum Electrodynamics is extended by interactions with external vector and tensor backgrounds, that are assumed to be generated by some Lorentz-violating (LV) dynamics at an ultraviolet scale perhaps related to…

High Energy Physics - Phenomenology · Physics 2011-10-11 Pavel A. Bolokhov , Stefan Groot Nibbelink , Maxim Pospelov

The Casimir effect is one of the most remarkable consequences of the non-zero vacuum energy predicted by quantum field theory. In this paper we use a local approach to study the Lorentz violation effects of the minimal standard model…

High Energy Physics - Theory · Physics 2017-02-22 A. Martín-Ruiz , C. A. Escobar

It is well known that the Casimir effect is an excellent candidate for the stabilization of the extra dimensions. It has also been suggested that the Casimir effect in higher dimensions may be the underlying phenomenon that is responsible…

General Relativity and Quantum Cosmology · Physics 2009-07-01 R. K. Obousy , A. A. Saharian

We study the classical thermal component of Casimir, or van der Waals, forces between point particles with highly anharmonic dipole Hamiltonians when they are subjected to an external electric field. Using a model for which the individual…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 Heino Soo , David Dean , Matthias Krüger

We regard the Casimir energy of the universe as the main contribution to the cosmological constant. Using 5 dimensional models of the universe, the flat model and the warped one, we calculate Casimir energy. Introducing the new…

High Energy Physics - Theory · Physics 2015-06-05 Shoichi Ichinose

We investigate the Casimir effect for a massless scalar field confined between two parallel semitransparent mirrors in a vacuum modified by spontaneous Lorentz symmetry breaking. Using Green's function techniques and a point-splitting…

High Energy Physics - Theory · Physics 2025-10-01 Román Linares , C. A. Escobar , A. Martín-Ruiz , E. Plácido

We study the renormalizable abelian vector-field models in the presence of the Wess-Zumino interaction with the pseudoscalar matter. The renormalizability is achieved by supplementing the standard kinetic term of vector fields with higher…

High Energy Physics - Theory · Physics 2008-11-26 A. A. Andrianov , R. Soldati , L. Sorbo

In this study, we explore the impact of an additional dimension, as proposed in Kaluza-Klein's theory, on the Casimir effect within the context of Lorentz invariance violation (LIV), which is represented by the ``aether field''. We…

High Energy Physics - Theory · Physics 2024-05-30 K. E. L. de Farias , M. A. Anacleto , E. Passos , Iver Brevik , Herondy Mota , João R. L. Santos

We study a four-dimensional effective theory of the five-dimensional (5D) gauged supergravity with a universal hypermultiplet and perturbative superpotential terms at the orbifold fixed points. The class of models we consider includes the…

High Energy Physics - Theory · Physics 2007-10-11 Yutaka Sakamura

We compute (as functions of the shape and Wilson-line moduli) the one-loop Casimir energy induced by higher-dimensional supergravities compactified from 6D to 4D on 2-tori, and on some of their Z_N orbifolds. Detailed calculations are given…

High Energy Physics - Theory · Physics 2009-11-11 D. M. Ghilencea , D. Hoover , C. P. Burgess , F. Quevedo

We study the existence and stability of static kink-like configurations of a 5D scalar field, with Dirichlet boundary conditions, along the extra dimension of a warped braneworld. In the presence of gravity such configurations fail to…

High Energy Physics - Phenomenology · Physics 2010-08-02 Manuel Toharia , Mark Trodden , Eric J. West

We discuss and compare the effects of one extra dimension in the Randall Sundrum models on the evaluation of the Casimir force between two parallel plates. We impose the condition that the result reproduce the experimental measurements…

High Energy Physics - Phenomenology · Physics 2008-11-26 Mariana Frank , Ismail Turan , Lorric Ziegler

We use the model of L. Randall et al to investigate the stability of allowed quantum field configurations. Firstly, we find that due to the topology of this 5 dimensional model, there are 2 possible configurations of the scalar field,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 L. Mersini

In this work, we investigate the violation of Lorentz symmetry through the Casimir effect. The Casimir effect is one of the most intriguing aspects of modern physics, representing a macroscopic quantum-origin force between two neutral…

High Energy Physics - Theory · Physics 2024-10-29 E. R. Bezerra de Mello , M. B. Cruz

We determine the effect of Lorentz invariance violation in the vacuum energy and stress between two parallel plates separated by a distance $L$, in the presence of a massive real scalar field. We parametrize the Lorentz-violation in terms…

High Energy Physics - Theory · Physics 2020-07-06 C. A. Escobar , A. Martín-Ruiz , O. J. Franca , Marcos A. G. Garcia

Casimir forces are conventionally computed by analyzing the effects of boundary conditions on a fluctuating quantum field. Although this analysis provides a clean and calculationally tractable idealization, it does not always accurately…

High Energy Physics - Theory · Physics 2008-11-26 N. Graham , R. L. Jaffe , V. Khemani , M. Quandt , O. Schroeder , H. Weigel

Perturbative expansions of relativistic quantum field theories typically contain ultraviolet divergences requiring regularization and renormalization. Many different regularization techniques have been developed over the years, but most…

High Energy Physics - Theory · Physics 2009-08-13 Matt Visser

We show that in the Randall-Sundrum model the Casimir energy of bulk gauge fields (or any of their supersymmetric relatives) has contributions that depend logarithmically on the radion. These contributions satisfactorily stabilize the…

High Energy Physics - Theory · Physics 2016-09-06 Jaume Garriga , Alex Pomarol