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It is proven that the usual quadratic general-covariant Lagrangian for the Dirac field leads to a symmetric, divergence-free energy-momentum tensor in the standard Riemannian framework of space-time without torsion, provided the tetrad…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Ludger Hannibal

The vacuum energies corresponding to massive Dirac fields with the boundary conditions of the MIT bag model are obtained. The calculations are done with the fields occupying the regions inside and outside the bag, separately. The…

High Energy Physics - Theory · Physics 2008-11-26 E. Elizalde , M. Bordag , K. Kirsten

It is known that the unregularized expressions for the stress-energy tensor components corresponding to subhorizon and superhorizon vacuum fluctuations of a massless scalar field in a Friedmann-Robertson-Walker background are characterized…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Ali Kaya

The vacuum expectation values (VEVs) of the field squared and energy-momentum tensor for a massless scalar field are investigated in the Milne universe with general number of spatial dimensions. The vacuum state depends on the choice of the…

High Energy Physics - Theory · Physics 2022-02-22 T. A. Petrosyan

We describe the occurrence and physical role of zero-energy modes in the Dirac equation with a topologically non-trivial background.

Strongly Correlated Electrons · Physics 2015-05-27 R. Jackiw

The aim of this research is to investigate the vacuum energy-momentum tensor of a quantized, massive, nonminimally coupled scalar field induced by a uniform electric field background in a four-dimensional de Sitter spacetime ($\dsf$). We…

High Energy Physics - Theory · Physics 2023-06-14 Omid Gholizadeh Meimanat , Ehsan Bavarsad

We study a formal extension of the Dirac equation in the framework of a non-commutative two-sheeted space-time. It is shown that this approach naturally extends the classical Dirac theory by doubling the number of fermionic states, which…

High Energy Physics - Theory · Physics 2009-11-10 Fabrice Petit , Michael Sarrazin

In this paper we consider a special case of vacuum non-linear electrodynamics with a stress-energy tensor conformal to the Maxwell theory. Distinctive features of this model are: the absence of dimensional parameter for non-linearity…

General Relativity and Quantum Cosmology · Physics 2022-10-19 I. P. Denisova , B. D. Garmaev , V. A. Sokolov

In this paper, we analyze the vacuum expectation values (VEVs) of the field squared and the energy-momentum tensor associated with a charged and massive scalar quantum field in a generalized $(D+1)$-dimensional anti-de Sitter space in the…

High Energy Physics - Theory · Physics 2020-01-15 W. Oliveira dos Santos , E. R. Bezerra de Mello , H. F. Mota

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

A scalar field in (2+1) dimensional Minkowski space-time is considered. Postulating noncommutative spatial coordinates, one is able to determine the (UV finite) vacuum expectation value of the quantum field energy momentum tensor.…

High Energy Physics - Theory · Physics 2007-05-23 P. Nicolini

A quantum Dirac field theory with no divergences of vacuum energy is presented. The vacuum energy divergence is eliminated by removing a extra degree of freedom of the Dirac fields. The conditions for removing the extra degree of freedom,…

High Energy Physics - Theory · Physics 2007-05-23 Ruo Peng Wang

In this paper we present a complete and detailed analysis of the calculation of both the Wightman function and the vacuum expectation value of the energy-momentum tensor that arise from quantum vacuum fluctuations of massive and massless…

High Energy Physics - Theory · Physics 2018-09-12 H. F. Mota , E. R. Bezerra de Mello , K. Bakke

The renormalised vacuum expectation values of massless fermion (conventionally call it neutrino) stress-energy tensor are calculated in the static spherically-symmetrical wormhole topology. Consider the case when the derivatives of metric…

General Relativity and Quantum Cosmology · Physics 2009-10-30 V. Khatsymovsky

In the standard cosmological framework of the 0th-order FLRW metric and the use of perfect fluids in the stress-energy tensor, dark energy with an equation-of-state parameter $w < -1$ (known as phantom dark energy) implies negative kinetic…

General Relativity and Quantum Cosmology · Physics 2015-10-07 Kevin J. Ludwick

In this paper we consider torsion gravity in the case of the Dirac field, and by going into the rest frame we study what happens when a uniform precession as well as a phase are taken into account for the spinor field; we discuss how…

General Relativity and Quantum Cosmology · Physics 2017-08-10 Luca Fabbri

The main objective of this paper is to analyze the vacuum expectation value (VEV) of the energy-momentum tensor (EMT) associated with a charged scalar quantum field in a high-dimensional cosmic string spacetime admitting the presence of a…

High Energy Physics - Theory · Physics 2019-08-26 E. A. F. Bragança , H. F. Santana Mota , E. R. Bezerra de Mello

We analyze zero energy solutions of the Dirac equation in the background of a string-like configuration in an extension of the standard model which accommodates the most general fermionic mass matrix for neutrinos. If either the left- or…

High Energy Physics - Theory · Physics 2009-11-07 Glenn Starkman , Dejan Stojkovic , Tanmay Vachaspati

We provide an explicit expression for the renormalized expectation value of the stress-energy tensor of a spin-$1/2$ field in a spatially flat FLRW universe. Its computation is based on the extension of the adiabatic regularization method…

General Relativity and Quantum Cosmology · Physics 2021-09-17 Adrian del Rio , Jose Navarro-Salas , Francisco Torrenti

We report a non-trivial feature of the vacuum structure of free massive or massless Dirac fields in the hyperbolic de Sitter spacetime. Here we have two causally disconnected regions, say $R$ and $L$ separated by another region, $C$. We are…

High Energy Physics - Theory · Physics 2019-10-23 Sourav Bhattacharya , Shankhadeep Chakrabortty , Shivang Goyal
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