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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

We present a general procedure to renormalize the stress tensor two-point correlation function on a Minkowski background in position space. The method is shown in detail for the case of a free massive scalar field in the standard Minkowski…

General Relativity and Quantum Cosmology · Physics 2013-08-14 Markus B. Fröb

We present a new theoretical and practical strategy to renormalize non-perturbatively the energy-momentum tensor in lattice QCD based on the framework of shifted boundary conditions. As a preparatory step for the fully non-perturbative…

High Energy Physics - Lattice · Physics 2019-12-02 Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

We consider a quantum field which is in a Hartle-Hawking state propagating in a spherically symmetric black hole space-time. We calculate the components of the stress tensor, renormalized using the Hadamard form of the Green's function, in…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Cormac Breen , Adrian C. Ottewill

It is argued that the ambiguity introduced by the renormalization in the effective action of a four-dimensional renormalizable quantum field theory is at most a local polynomial action of canonical dimension four. The allowed ambiguity in…

General Relativity and Quantum Cosmology · Physics 2009-10-31 L. L. Salcedo

We study the renormalized energy-momentum tensor (EMT) of the inflaton fluctuations in rigid space-times during the slow-rollover regime for chaotic inflation with a mass term. We use dimensional regularization with adiabatic subtraction…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Finelli , G. Marozzi , G. P. Vacca , G. Venturi

We solve the Wigner equation for massless spin-1/2 charged fermions near global equilibrium. The Wigner function can be obtained order by order in the power expansion of the vorticity and electromagnetic field. The Wigner function has been…

High Energy Physics - Phenomenology · Physics 2021-01-04 Shi-Zheng Yang , Jian-Hua Gao , Zuo-Tang Liang , Qun Wang

We compute the renormalized expectation value of the stress-energy tensor operator for a quantum scalar field propagating on three-dimensional global anti-de Sitter space-time. The scalar field has general mass and nonminimal coupling to…

High Energy Physics - Theory · Physics 2025-06-23 Sivakumar Namasivayam , Elizabeth Winstanley

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 a suitable vacuum state for a quantized Dirac field interacting with a classical scalar field in a Friedman-Robertson-Walker-Lemaitre spacetime. This state is constructed from an extended version of the adiabatic expansion of the…

General Relativity and Quantum Cosmology · Physics 2020-12-18 Antonio Ferreiro

Aim of the paper is to obtain 2d analogue of the backreaction equation which will be useful to study final state of quantum perturbed spherically symmetric curved space times. Thus we take Einstein-massless-scalar $\psi$ tensor gravity…

High Energy Physics - Theory · Physics 2016-09-08 Hossein Ghaffarnejad

We derive constraints on the form of the renormalized stress tensor for states on Kerr space-time based on general physical principles: symmetry, the conservation equations, the trace anomaly and regularity on (sections of) the event…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Adrian C. Ottewill , Elizabeth Winstanley

We calculate the vacuum expectation value of the stress-energy tensor for a quantised bulk scalar field in the Randall-Sundrum model, and discuss the consequences of its local behaviour for the self-consistency of the model. We find that,…

High Energy Physics - Theory · Physics 2007-05-23 A. Knapman , D. J. Toms

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

The adiabatic regularization method was originally proposed by Parker and Fulling to renormalize the energy-momentum tensor of scalar fields in expanding universes. It can be extended to renormalize the electric current induced by quantized…

High Energy Physics - Theory · Physics 2020-05-27 Pau Beltrán-Palau , Jose Navarro-Salas , Silvia Pla

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 present a (hopefully) novel calculation of the vacuum energy in expanding FLRW spacetimes based on the renormalization of quantum field theory in non-zero backgrounds. We compute the renormalized effective action up to the $2-$point…

High Energy Physics - Theory · Physics 2015-06-16 Badis Ydri , Adel Bouchareb

We have discussed the tensor-network representation of classical statistical or interacting quantum lattice models, and given a comprehensive introduction to the numerical methods we recently proposed for studying the tensor-network…

Strongly Correlated Electrons · Physics 2013-05-29 H. H. Zhao , Z. Y. Xie , Q. N. Chen , Z. C. Wei , J. W. Cai , T. Xiang

We discuss several aspects of the stress-energy tensor for a quantum scalar field in an inhomogeneous background, the latter being modeled by a variable mass. Using a perturbative approach, dimensional regularization and adiabatic…

High Energy Physics - Theory · Physics 2021-10-29 S. A. Franchino-Viñas , M. N. Mantiñan , F. D. Mazzitelli

The Wightman functions in the Rindler portion of Minkowski space-time are presented for any value of the temperature and for massless spin fields up to s=1 and the renormalized stress tensor relative to Minkowski vacuum is discussed. A…

High Energy Physics - Theory · Physics 2009-10-28 Valter Moretti , Luciano Vanzo