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Computation of the renormalized stress-energy tensor is the most serious obstacle in studying the dynamical, self-consistent, semiclassical evaporation of a black hole in 4D. The difficulty arises from the delicate regularization procedure…

广义相对论与量子宇宙学 · 物理学 2015-06-03 Adam Levi , Amos Ori

Renormalization of physical quantities for quantum field theories in curved spacetimes can be achieved via the consistent subtraction of counterterms within a regularization scheme such as a point-splitting method. Pragmatic mode-sum…

广义相对论与量子宇宙学 · 物理学 2026-02-05 Noa Zilberman , Marc Casals , Adam Levi , Amos Ori , Adrian C. Ottewill

We continue the presentation of the pragmatic mode-sum regularization (PMR) method for computing the renormalized stress-energy tensor (RSET). We show in detail how to employ the $t$-splitting variant of the method, which was first…

广义相对论与量子宇宙学 · 物理学 2017-01-24 Adam Levi

The full computation of the renormalized expectation values $\langle\Phi^{2}\rangle_{ren}$ and $\langle\hat{T}_{\mu\nu}\rangle_{ren}$ in 4D black hole interiors has been a long standing challenge, which has impeded the investigation of…

广义相对论与量子宇宙学 · 物理学 2018-10-16 Assaf Lanir , Adam Levi , Amos Ori

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…

广义相对论与量子宇宙学 · 物理学 2022-10-04 Peter Taylor , Cormac Breen , Adrian Ottewill

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…

广义相对论与量子宇宙学 · 物理学 2021-09-17 Adrian del Rio , Jose Navarro-Salas , Francisco Torrenti

A method for computing the stress-energy tensor for the quantized, massless, spin 1/2 field in a general static spherically symmetric spacetime is presented. The field can be in a zero temperature state or a non-zero temperature thermal…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Peter B. Groves , Paul R. Anderson , Eric D. Carlson

The point-splitting renormalization method offers a prescription to calculate finite expectation values of quadratic operators constructed from quantum fields in a general curved spacetime. It has been recently shown by Levi and Ori that…

广义相对论与量子宇宙学 · 物理学 2021-06-18 Pau Beltrán-Palau , Adrián del Río , Sergi Nadal-Gisbert , José Navarro-Salas

We conclude the rigorous analysis of a previous paper concerning the relation between the (Euclidean) point-splitting approach and the local $\zeta$-function procedure to renormalize physical quantities at one-loop in (Euclidean) QFT in…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Valter Moretti

We construct a simple algorithm to derive number density of spin 1/2 particles created in spatially flat FLRW spacetimes and resulting renormalized energy-momentum tensor within the framework of adiabatic regularization. Physical quantities…

广义相对论与量子宇宙学 · 物理学 2016-03-23 Suman Ghosh

We report here on a new method for calculating the renormalized stress-energy tensor (RSET) in black-hole (BH) spacetimes, which should also be applicable to dynamical BHs and to spinning BHs. This new method only requires the spacetime to…

广义相对论与量子宇宙学 · 物理学 2016-12-02 Adam Levi , Amos Ori

We numerically compute the renormalized expectation value $\langle\hat{\Phi}^{2}\rangle_{ren}$ of a minimally-coupled massless quantum scalar field in the interior of a four-dimensional Reissner-Nordstrom black hole, in both the…

广义相对论与量子宇宙学 · 物理学 2021-05-04 Assaf Lanir , Amos Ori , Noa Zilberman , Orr Sela , Ahron Maline , Adam Levi

We develop a new regularization method for the stress-energy tensor and the two-point function of free quantum scalar fields propagating in cosmological spacetimes. We proceed by extending the adiabatic regularization scheme with the…

广义相对论与量子宇宙学 · 物理学 2024-02-27 Antonio Ferreiro , Samuel Monin , Francisco Torrenti

We calculate the effects of quantum fluctuations of a scalar field in the "ballpoint pen" cosmic string geometry. Using the approach to renormalization established previously for the energy density in two space dimensions, we extend those…

广义相对论与量子宇宙学 · 物理学 2025-06-02 Noah Graham

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…

高能物理 - 理论 · 物理学 2016-09-08 Hossein Ghaffarnejad

The approximation of the renormalized stress-energy tensor of the quantized massive scalar field in Reissner-Nordstr\"om spacetime is constructed. It is achieved by functional differentiation of the first two nonvanishing terms of the…

广义相对论与量子宇宙学 · 物理学 2014-11-21 Jerzy Matyjasek , Dariusz Tryniecki , Katarzyna Zwierzchowska

Calculation of the vacuum polarization, $<\phi^2(x)>$, and expectation value of the stress tensor, $<T_{\mu\nu}(x)>$, has seen a recent resurgence, notably for black hole spacetimes. To date, most calculations of this type have been done…

广义相对论与量子宇宙学 · 物理学 2009-09-21 Robert T. Thompson , José P. S. Lemos

In this paper we present a new approach to the inverse problem for relativistic stars using quasinormal modes and the piecewise polytropic parametrization of the equation of state. The algorithm is a piecewise polytropic meshing and…

广义相对论与量子宇宙学 · 物理学 2019-05-10 Juan Mena-Fernández , Luis Manuel González-Romero

We review our recent results on the renormalization procedure for a free quantum scalar field with modified dispersion relations in curved spacetimes. For dispersion relations containing up to $2s$ powers of the spatial momentum, the…

高能物理 - 理论 · 物理学 2015-05-13 Diana López Nacir , Francisco D. Mazzitelli

We compute the two-point function and the renormalized expectation value of the stress tensor of a quantum field interacting with a nucleating bubble. Two simple models are considered. One is the massless field in the Vilenkin-Ipser-Sikivie…

广义相对论与量子宇宙学 · 物理学 2011-04-15 Xavier Montes
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