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We analyze the renormalized stress-energy tensor (RSET) of a massless quantum scalar field in time-dependent gravitational backgrounds. Starting from its formal expression obtained within the covariant perturbative expansion to lowest order…

General Relativity and Quantum Cosmology · Physics 2026-01-21 A. Boasso , F. D. Mazzitelli

The approximate stress-energy tensor of the conformally invariant massless spin-1/2 field in the Hartle-Hawking state in the Schwarzschild spacetime is constructed. It is shown that by solving the conservation equation in conformal space…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jerzy Matyjasek

For the quantised, massless, minimally coupled real scalar field in four-dimensional Minkowski space, we show (by an explicit construction) that weighted averages of the null-contracted stress-energy tensor along null geodesics are…

General Relativity and Quantum Cosmology · Physics 2009-11-07 C. J. Fewster , T. A. Roman

We study the fluctuations of the stress tensor for a massless scalar field in two and four-dimensional Minkowski spacetime in the vacuum state. Covariant expressions for the stress tensor correlation function are obtained as sums of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 L. H. Ford , Thomas A. Roman

We study a supersymmetric model in curved background spacetime. We calculate the effective action and the vacuum expectation value of the energy momentum tensor using a covariant regularization procedure. A soft supersymmetry breaking…

High Energy Physics - Theory · Physics 2015-05-30 Neven Bilic , Silvije Domazet , Branko Guberina

We numerically study two-dimensional quantum turbulence with a Gross--Pitaevskii model. With the energy initially accumulated at large scale, quantum turbulence with many quantized vortex points is generated. Due to the lack of enstrophy…

Other Condensed Matter · Physics 2015-05-18 Ryu Numasato , Makoto Tsubota , Victor S. L'vov

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

Within the context of quantum field theory in curved spacetimes, Hacyan and Sarmiento defined the vacuum stress-energy tensor with respect to the accelerated observer. They calculated it for uniform acceleration and circular motion, and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 T. Hirayama , T. Hara

The quantum fluctuation of the stress tensor of a quantum field are discussed, as are the resulting spacetime metric fluctuations. Passive quantum gravity is an approximation in which gravity is not directly quantized, but fluctuations of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. H. Ford , Chun-Hsien Wu

We study the quantum effects induced by bulk scalar fields in a model with a de Sitter (dS) brane in a flat bulk (the Vilenkin-Ipser-Sikivie model) in more than four dimensions. In ordinary dS space, it is well known that the stress tensor…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Oriol Pujolas , Takahiro Tanaka

This article presents the derivation of the stress-energy tensor of a free scalar field with a general non-linear dispersion relation in curved spacetime. This dispersion relation is used as a phenomelogical description of the short…

High Energy Physics - Theory · Physics 2009-11-07 Martin Lemoine , Musongela Lubo , Jerome Martin , Jean-Philippe Uzan

We calculate the vacuum expectation values of the stress-energy bitensor of a minimally coupled massless scalar field in anti-de Sitter (AdS) spaces. These correlators, also known as the noise kernel, act as sources in the Einstein-Langevin…

High Energy Physics - Theory · Physics 2015-05-28 H. T. Cho , B. L. Hu

Analytical approximations for ${< \phi^2 >}$ and ${< T^{\mu}_{\nu} >}$ of a quantized scalar field in static spherically symmetric spacetimes are obtained. The field is assumed to be both massive and massless, with an arbitrary coupling…

High Energy Physics - Theory · Physics 2010-11-19 Arkady A. Popov

Continuing a program of examining the behavior of the vacuum expectation value of the stress tensor in a background which varies only in a single direction, we here study the electromagnetic stress tensor in a medium with permittivity…

High Energy Physics - Theory · Physics 2018-06-20 Prachi Parashar , Kimball A. Milton , Yang Li , Hannah Day , Xin Guo , Stephen A. Fulling , Ines Cavero-Pelaez

Normal stresses in sheared suspensions of non-Brownian particles are obtained from numerical simulations in the viscous regime. The stresses are determined in homogeneous shear of non-buoyant particles and by analyzing shear-induced…

Soft Condensed Matter · Physics 2024-10-02 William Chèvremont , Bruno Chareyre , Hugues Bodiguel

In the framework of finite temperature conformal scalar field theory on de Sitter space-time the linearized Einstein equations for the renormalized stress tensor are exactly solved. In this theory quantum field fluctuations are concentrated…

General Relativity and Quantum Cosmology · Physics 2010-04-06 D. V. Fursaev , G. Miele

We calculate the vacuum fluctuation of the stress tensor of a higher-derivative theory around a thin cosmic string. To this end, we adopt the method to obtain the stress tensor from the effective action developed by Gibbons et al. By their…

High Energy Physics - Theory · Physics 2021-08-16 Nahomi Kan , Masashi Kuniyasu , Kiyoshi Shiraishi

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

Starting from the stochastic equation for the density operator, we formulate the exact (instantaneous) stress tensor for interacting Brownian particles, whose average value agrees with expressions derived previously. We analyze the relation…

Soft Condensed Matter · Physics 2018-04-04 M. Krüger , A. Solon , V. Démery , C. M. Rohwer , D. S. Dean

We consider spherically symmetric static black hole configurations that obey the vacuum equation of state: $p_{r}=-\rho $, where $p_{r}$ is the radial pressure, $\rho $ being energy density. We find in a closed form the metric for an…

General Relativity and Quantum Cosmology · Physics 2026-03-24 O. B. Zaslavskii
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