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Related papers: Thermal expectation values of fermions on anti-de …

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We study vacuum and thermal expectation values of quantum scalar and Dirac fermion fields on anti-de Sitter space-time. Anti-de Sitter space-time is maximally symmetric and this enables expressions for the scalar and fermion vacuum Feynman…

High Energy Physics - Theory · Physics 2018-08-29 Victor E. Ambrus , Carl Kent , Elizabeth Winstanley

Using an exact expression for the bi-spinor of parallel transport, we construct the Feynman propagator for Dirac fermions in the vacuum state on anti-de Sitter space-time. We compute the vacuum expectation value of the stress-energy tensor…

General Relativity and Quantum Cosmology · Physics 2015-01-05 Victor E. Ambrus , Elizabeth Winstanley

We construct the Feynman propagator for Dirac fermions on anti-de Sitter space-time and present an analytic expression for the bi-spinor of parallel transport. We then renormalise the vacuum expectation value of the stress-energy tensor and…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Victor E. Ambruş , Elizabeth Winstanley

We study the energy density and pressure of a relativistic thermal gas of massless fermions on four-dimensional Minkowski and anti-de Sitter space-times using relativistic kinetic theory. The corresponding quantum field theory quantities…

High Energy Physics - Theory · Physics 2018-01-17 Victor E. Ambrus , Elizabeth Winstanley

Here we analyze the expectation value of the fermionic condensate and the energy-momentum tensor associated with a massive charged fermionic quantum field with a nonzero chemical potential propagating in a magnetic-flux-carrying cosmic…

High Energy Physics - Theory · Physics 2024-10-07 W. Oliveira dos Santos , E. R. Bezerra de Mello

The Schwinger-de Witt and Hadamard methods are used to obtain renormalised vacuum expectation values for the fermion condensate, charge current and stress-energy tensor of a quantum fermion field of arbitrary mass on four-dimensional…

High Energy Physics - Theory · Physics 2015-09-04 Victor E. Ambrus , Elizabeth Winstanley

We investigate the fermionic condensate and the vacuum expectation value of the energy-momentum tensor for a massive spinor field in the geometry of a straight cosmic string on background of de Sitter spacetime. By using the Abel-Plana…

High Energy Physics - Theory · Physics 2010-08-24 E. R. Bezerra de Mello , A. A. Saharian

In this paper we investigate the vacuum polarization effects associated with quantum fermionic charged fields in a generalized $(d+1)-$dimensional cosmic string space-times considering the presence of a magnetic flux along the string. In…

High Energy Physics - Theory · Physics 2009-11-19 J. Spinelly , E. R. Bezerra de Mello

We compute the one loop fermion self-energy for massless Dirac + Einstein in the presence of a locally de Sitter background. We employ dimensional regularization and obtain a fully renormalized result by absorbing all divergences with BPHZ…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Shun-Pei Miao , R. P. Woodard

We consider a massive fermionic quantum field localized on a plane in external constant and homogeneous electric and magnetic fields. The magnetic field is perpendicular to the plane and the electric field is parallel. The complete set of…

High Energy Physics - Theory · Physics 2024-05-20 V. V. Parazian

The fermionic condensate and vacuum expectation value of the energy-momentum tensor, for a massive fermionic field on the background of anti-de Sitter spacetime, in the geometry of two parallel boundaries with bag boundary conditions, are…

High Energy Physics - Theory · Physics 2013-07-10 E. Elizalde , S. D. Odintsov , A. A. Saharian

Here, we study a quantum fermion field in rigid rotation at finite temperature on anti-de Sitter space. We assume that the rotation rate $\Omega$ is smaller than the inverse radius of curvature $\ell ^{-1}$, so that there is no speed of…

High Energy Physics - Theory · Physics 2022-02-16 Victor E. Ambrus , Elizabeth Winstanley

We study the vacuum polarisation effects of the Dirac fermionic field induced by a pointlike global monopole located in the cosmological de Sitter spacetime. First we derive the four orthonormal Dirac modes in this background in a closed…

High Energy Physics - Theory · Physics 2022-03-25 Md Sabir Ali , Sourav Bhattacharya

We argue that a scalar field in de Sitter spacetime should feel explicit thermal effects associated with its curvature. Starting from the Bunch-Davies vacuum and a scalar field with small mass compared to the de Sitter curvature, we use the…

High Energy Physics - Theory · Physics 2025-12-08 Nikos Irges , Antonis Kalogirou , Fotis Koutroulis

Some arguments are considered in favor of the idea that the canonical anticommutation relations for fermions should be modified in curved spacetime near the event horizon of a black hole. Such a modification is expected to lead to a change…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Vladimir Dzhunushaliev , Vladimir Folomeev

In a previous paper we have shown how, for bosonic fields, the generating functional in both relativistic quantum field theory and thermal field theory can be evaluated by use of a standard quantum mechanical path integral. In this paper we…

High Energy Physics - Theory · Physics 2009-10-22 D G C McKeon , a K Rebhan

We investigate the properties of the fermionic Fulling-Rindler vacuum for a massive Dirac field in a general number of spatial dimensions. As important local characteristics, the fermionic condensate and the expectation value of the…

High Energy Physics - Theory · Physics 2023-11-17 S. Bellucci , V. Kh. Kotanjyan , A. A. Saharian

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

Fermionic condensate and the vacuum expectation values of the energy-momentum tensor are investigated for twisted and untwisted massive spinor fields in higher-dimensional de Sitter spacetime with toroidally compactified spatial dimensions.…

High Energy Physics - Theory · Physics 2008-12-25 E. R. Bezerra de Mello , A. A. Saharian

In this paper it is shown how the generating functional for Green's functions in relativistic quantum field theory and in thermal field theory can be evaluated in terms of a standard quantum mechanical path integral. With this calculational…

High Energy Physics - Theory · Physics 2011-07-19 D. G. C. McKeon , A. Rebhan
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