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We show that the stress-energy tensor has additional terms with respect to the ideal form in states of global thermodynamic equilibrium in flat spacetime with non-vanishing acceleration and vorticity. These corrections are of quantum origin…

General Relativity and Quantum Cosmology · Physics 2015-09-02 F. Becattini , E. Grossi

The regularized expectation value of the stress-energy tensor for a massless bosonic or fermionic field in 1+1 dimensions is calculated explicitly for the instantaneous vacuum relative to any Cauchy surface (here a spacelike curve) in terms…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Don N. Page

We analyze the vacuum fluctuations and the stress-energy tensor of a scalar field of mass $M$ in a conical spacetime, where the topological singularity at the apex requires boundary conditions for the field equation. The necessity of…

High Energy Physics - Theory · Physics 2025-12-05 João Paulo M. Pitelli , Ricardo A. Mosna , Victor Hugo M. Ramos , João C. A. Barata

We propose that the expectation value of the stress energy tensor of the Standard Model should be given by $< T_{\mu \nu} > = \rho_\vac \eta_{\mu\nu}$, with a vacuum energy $\rho_\vac$ that differs from the usual "dimensional analysis"…

General Relativity and Quantum Cosmology · Physics 2014-06-02 Jan Holland , Stefan Hollands

The components of the renormalized quantum Energy-Momentum tensor for a massive vector field coupled to the gravitational field configuration of a static Black-String are analytically evaluated using the Schwinger-DeWitt approximation. The…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Owen Pavel Fernández Piedra , Jerzy Matyjasek

We construct and study the approximate stress-energy tensor of the quantized massive scalar field in higher dimensional Schwarzschild-Tangherlini spacetimes. The stress-energy tensor is calculated within the framework of the…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Jerzy Matyjasek , Pawel Sadurski

To model a realistic situation for the beginning we consider massive real scalar $\phi^4$ theory in a (1+1)-dimensional asymptotically static Minkowski spacetime with an intermediate stage of expansion. To have an analytic headway we assume…

High Energy Physics - Theory · Physics 2018-02-28 Emil T. Akhmedov , Francesco Bascone

Applying the general framework for local zeta regularization proposed in Part I of this series of papers, we compute the renormalized vacuum expectation value of several observables (in particular, of the stress-energy tensor and of the…

Mathematical Physics · Physics 2016-02-09 Davide Fermi , Livio Pizzocchero

In this paper, we describe an extremely efficient method for computing the renormalized stress-energy tensor of a quantum scalar field in spherically-symmetric black hole spacetimes. The method applies to a scalar field with arbitrary field…

General Relativity and Quantum Cosmology · Physics 2022-10-04 Peter Taylor , Cormac Breen , Adrian Ottewill

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 consider a real massive free quantum scalar field with arbitrary curvature coupling on $n$-dimensional anti-de Sitter space-time. We use Hadamard renormalization to find the vacuum expectation values of the quadratic field fluctuations…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Carl Kent , Elizabeth Winstanley

In this work, we investigate the renormalized energy--momentum tensor of a quantized charged scalar field in three-dimensional de Sitter spacetime $\mathrm{dS}_{3}$ under the influence of a uniform electric field. Using the adiabatic…

High Energy Physics - Theory · Physics 2025-12-12 Manizheh Botshekananfard , Takahiro Hayashinaka

Following a previous work on the quantization of a massless scalar field in a spacetime representing the head on collision of two plane waves which fucus into a Killing-Cauchy horizon, we compute the renormalized expectation value of the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 M. Dorca , E. Verdaguer

This paper is devoted to the construction of the renormalized quantum stress energy tensor $\left<T_{\mu}^{\nu}\right>_{ren}$ for a massive scalar field with arbitrary coupling to the gravitational field of a pointlike global monopole,…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Owen Pavel Fernández Piedra

The stress-energy tensor of the quantum vacuum is studied for the particular case of quantum electrodynamics (QED), that is a fictituous universe where only the electromagnetic and the electron-positron fields exist. The integrals involved…

General Relativity and Quantum Cosmology · Physics 2015-05-12 Emilio Santos

We derive a simple form for the propagator of a massless, minimally coupled scalar in a locally de Sitter geometry of arbitrary spacetime dimension. We then employ it to compute the fully renormalized stress tensor at one and two loop…

General Relativity and Quantum Cosmology · Physics 2009-11-07 V. K. Onemli , R. P. Woodard

The components of the Riemann tensor in the tetrad basis are quantized and, through the Einstein equation, we find the local expectation value in the ontological interpretation of quantum mechanics of the energy density and pressure of a…

General Relativity and Quantum Cosmology · Physics 2010-09-02 Patricio S. Letelier , João Paulo M. Pitelli

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 consider quantum real massive scalar field in the de Sitter-Schwarzschild space-time backround. To have an analytic head way we study in detail the two-dimensional case, assuming that the situation in four dimensions will not be much…

High Energy Physics - Theory · Physics 2023-05-31 E. T. Akhmedov , K. V. Bazarov

We compute the renormalized stress-energy tensor for a massless quantum scalar field in the background of the horizonless Bardeen spacetime. Within the weak-field approximation, we show that the vacuum fluctuations differ significantly…

High Energy Physics - Theory · Physics 2025-12-17 Andrés Boasso , Francisco D. Mazzitelli