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In this paper, we evaluate the Casimir energy and pressure for a massive fermionic field confined in the region between two parallel plates. In order to implement this confinement we impose the standard MIT bag boundary on the plates for…

High Energy Physics - Theory · Physics 2019-04-29 M. B. Cruz , E. R. Bezerra de Mello , A. Yu. Petrov

We study the fermion pair creation phenomenon due to the time dependence of curves, where boundary conditions are imposed on a Dirac field in 2+1 dimensions. These conditions, which lead to non-trivial relations for the normal component of…

High Energy Physics - Theory · Physics 2023-08-08 C. D. Fosco , G. Hansen

We study the influence of a background uniform magnetic field and boundary conditions on the vacuum of a quantized charged spinor matter field confined between two parallel neutral plates; the magnetic field is directed orthogonally to the…

High Energy Physics - Theory · Physics 2015-05-06 Yu. A. Sitenko

In this paper we investigate the fermionic condensate and the renormalized vacuum expectation value (VEV) of the energy-momentum tensor for a massive fermionic field induced by a flat boundary in the cosmic string spacetime. In this…

High Energy Physics - Theory · Physics 2012-12-06 E. R. Bezerra de Mello , A. A. Saharian , S. V. Abajyan

We study the Casimir problem for a fermion coupled to a static background field in one space dimension. We examine the relationship between interactions and boundary conditions for the Dirac field. In the limit that the background becomes…

High Energy Physics - Theory · Physics 2015-06-26 P. Sundberg , R. L. Jaffe

Advance in quantum simulations using trapped ions or superconducting elements allows detailed analysis of the transverse field Ising model (TFIM), which can exhibit a quantum phase transition and has been a paradigm in exactly solvable…

Statistical Mechanics · Physics 2018-03-22 Yan He , Hao Guo

We calculate the Casimir force for a fermionic quantum field in a piston geometry with three parallel plates. The fermion satisfies bag boundary conditions on the plates and the spacetime is assumed to have compact extra dimensions. The…

High Energy Physics - Theory · Physics 2013-09-13 V. K. Oikonomou

We investigate the vacuum expectation values of the energy-momentum tensor and the fermionic condensate associated with a massive spinor field obeying the MIT bag boundary condition on a spherical shell in the global monopole spacetime. In…

High Energy Physics - Theory · Physics 2008-11-26 A. A. Saharian , E. R. Bezerra de Mello

We investigate the finite temperature fermionic condensate and the expectation values of the charge and current densities for a massive fermion field in a spacetime background with an arbitrary number of toroidally compactified spatial…

High Energy Physics - Theory · Physics 2014-04-23 S. Bellucci , E. R. Bezerra de Mello , A. A. Saharian

The Casimir effect arises from the zero-point energy of particles in momentum space deformed by the existence of two parallel plates. For degrees of freedom on the lattice, its energy-momentum dispersion is determined so as to keep a…

High Energy Physics - Lattice · Physics 2021-06-15 Tsutomu Ishikawa , Katsumasa Nakayama , Kei Suzuki

In this paper, we analyze the fermionic Casimir effects associated with a massless quantum field in the context of Lorentz symmetry violation approach based on Horava-Lifshitz methodology. In order to obtain these observables, we impose the…

High Energy Physics - Theory · Physics 2019-07-22 Dêivid R. da Silva , M. B. Cruz , E. R. Bezerra de Mello

In this paper, we consider the fermionic Casimir effect under a new type of space-time topology using the concept of quotient topology. The relation between the new topology and that in Ref. \cite{Feng,Zhai3} is something like that between…

High Energy Physics - Theory · Physics 2011-06-30 Xiang-hua Zhai , Xin-zhou Li , Chao-Jun Feng

A generalization of the MIT bag boundary condition for spinor matter is proposed basing on the requirement that the Dirac hamiltonian operator be self-adjoint. An influence of a background magnetic field on the vacuum of charged spinor…

High Energy Physics - Theory · Physics 2016-10-14 Yurii A Sitenko

In this note we calculate the Casimir effect of free thermal gravitons in Einstein universe and discuss how it changes the entropy bound condition proposed recently by Verlinde [hep-th/0008140] as a higher dimensional generalization of…

High Energy Physics - Theory · Physics 2009-10-31 Feng-Li Lin

The Casimir effect for massless scalar fields satisfying Dirichlet boundary conditions on the parallel plates in the presence of one fractal extra compactified dimension is analyzed. We obtain the Casimir energy density by means of the…

High Energy Physics - Theory · Physics 2015-05-28 Hongbo Cheng

We consider a quantum massless fermionic field in (1+1) dimensions in the case of moving boundaries. We work in the canonical approach in order to find a Hamiltonian describing the dynamics of the field. Thus, we study the statistics of…

Quantum Physics · Physics 2021-12-21 Gianluca Francica

We investigate the fermionic condensate (FC) and the vacuum expectation value (VEV) of the energy-momentum tensor for a charged massive fermionic field in the geometry of a cosmic string compactified along its axis. In addition, we assume…

High Energy Physics - Theory · Physics 2014-01-28 S. Bellucci , E. R. Bezerra de Mello , A. de Padua , A. A. Saharian

A new method based on the Monte-Carlo calculation on the lattice is proposed to study the Casimir effect in the compact lattice U(1) theory with Wilson action. We have studied the standard Casimir problem with two parallel plane surfaces…

High Energy Physics - Lattice · Physics 2009-01-15 Oleg Pavlovsky , Maxim Ulybyshev

We discuss the Casimir effect for massless scalar fields subject to the Dirichlet boundary conditions on the parallel plates at finite temperature in the presence of one fractal extra compactified dimension. We obtain the Casimir energy…

High Energy Physics - Theory · Physics 2015-05-30 Hongbo Cheng

We investigate the fermionic condensate and the vacuum expectation values of the energy-momentum tensor for a massive spinor field in de Sitter spacetime with spatial topology $\mathrm{R}^{p}\times (\mathrm{S}^{1})^{q}$. Both cases of…

High Energy Physics - Theory · Physics 2008-11-26 A. A. Saharian