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Related papers: A Mode-Sum Prescription for Vacuum Polarization in…

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We discuss a systematic way to dimensionally regularize divergent sums arising in field theories with an arbitrary number of physical compact dimensions or finite temperature. The method preserves the same symmetries of the action as the…

High Energy Physics - Theory · Physics 2009-11-07 Roberto Contino , Andrea Gambassi

We give an analytical formula for the vacuum polarization of a massless minimally coupled scalar field at the horizon of a rotating black hole with subtracted geometry. This is the first example of an exact, analytical result for a…

High Energy Physics - Theory · Physics 2015-09-30 Mirjam Cvetic , Zain H. Saleem , Alejandro Satz

Vacuum polarization of a massive scalar field in the background of a two-dimensional version of a spinning cosmic string is investigated. It is shown that when the `radius of the universe' is such that spacetime is globally hyperbolic the…

General Relativity and Quantum Cosmology · Physics 2012-08-27 V. A. De Lorenci , E. S. Moreira,

We obtain all ``regularization parameters'' (RP) needed for calculating the gravitational and electromagnetic self forces for an arbitrary geodesic orbit around a Schwarzschild black hole. These RP values are required for implementing the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Leor Barack , Amos Ori

General Relativity predicts the existence of quadratic quasi-normal modes at second order in perturbation theory. Building on our recent work, we compute the amplitudes and polarizations of these modes for non-rotating black holes, showing…

High Energy Physics - Theory · Physics 2024-12-16 Bruno Bucciotti , Leonardo Juliano , Adrien Kuntz , Enrico Trincherini

In this work we study whether parametrized spherically symmetric black hole solutions in metric theories of gravity can appear to be isospectral when studying perturbations. From a theory agnostic point of view, the test scalar field wave…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Sebastian H. Völkel , Kostas D. Kokkotas

We obtain an analytic approximation for the effective action of a quantum scalar field in a general static two-dimensional spacetime. We apply this to the dilaton gravity model resulting from the spherical reduction of a massive,…

High Energy Physics - Theory · Physics 2011-02-22 Roberto Balbinot , Alessandro Fabbri , Piero Nicolini , Patrick J. Sutton

We calculate the renormalized vacuum polarization and stress tensor for a massless, arbitrarily coupled scalar field in the Hartle-Hawking vacuum state on the horizon of a Schwarzschild black hole threaded by an infinte straight cosmic…

General Relativity and Quantum Cosmology · Physics 2011-01-27 Adrian C. Ottewill , Peter Taylor

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…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Adam Levi , Amos Ori

The large dimension ($D$) limit of general relativity has been used in problems involving black holes as an analytical approximation tool. Further it has been proposed that both linear and nonlinear problems involving black holes can be…

High Energy Physics - Theory · Physics 2018-10-23 Amruta Sadhu , Vardarajan Suneeta

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…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Noa Zilberman , Marc Casals , Adam Levi , Amos Ori , Adrian C. Ottewill

We compute the renormalized expectation value of the square of a quantum scalar field on a Reissner-Nordstrom-de Sitter black hole in which the temperatures of the event and cosmological horizons are equal (`lukewarm' black hole). Our…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Elizabeth Winstanley , Phil M. Young

We study the polarization of the vacuum for a scalar field, $<\phi^2 >$, on an asymptotically anti-de Sitter black hole geometry. The method we follow uses the WKB analytic expansion and point-splitting regularization, similarly to previous…

High Energy Physics - Theory · Physics 2009-02-20 Antonino Flachi , Takahiro Tanaka

An analysis of the one-loop vacuum fluctuations associated with a scalar field confined in the interior of a infinite waveguide of rectangular cross section is presented. We first consider the massless scalar field defined in a…

High Energy Physics - Theory · Physics 2007-05-23 R. B. Rodrigues , N. F. Svaiter

Black bounce spacetimes usually arise from the Simpson-Visser regularization method. This type of metric presents a wormhole throat inside an event horizon. In this paper, we presented new classes of black bounce spacetime solutions, which…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Manuel E. Rodrigues , Marcos V. de S. Silva

We develop a fully numerical framework to compute and visualize the \emph{hypershadow}\cite{Novo:2024wyn}, the three-dimensional generalization of the black hole shadow in five-dimensional spacetimes. Our method is based on backward ray…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Jianzhi Yang

The quantisation of a scalar field in the five-dimensional model suggested by Randall and Sundrum is considered. Using the Kaluza-Klein reduction of the scalar field, discussed by Goldberger and Wise, we sum the infinite tower of modes to…

High Energy Physics - Theory · Physics 2009-10-31 David J. Toms

A massless scalar field minimally coupled to gravity and propagating in the Schwarzschild spacetime is considered. After dimensional reduction under spherical symmetry the resulting 2D field theory is canonically quantized and the…

High Energy Physics - Theory · Physics 2008-11-26 R. Balbinot , A. Fabbri , V. Frolov , P. Nicolini , P. Sutton , A. Zelnikov

We investigate vacuum polarization on the event horizon of a Schwarzschild black hole carrying a global monopole. For a massless scalar field $\Psi$ in the Hartle-Hawking state and with arbitrary curvature coupling, we compute the…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Leonardo G. Barbosa , Victor H. M. Ramos , João Paulo M. Pitelli

WKB approximation methods are applied to the case of a massive scalar field around a 5-dimensional Reissner-Nordstr\"om black hole. The divergences are explicitly isolated and the cancellation against the Schwinger-De Witt counter-terms…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Gonçalo M. Quinta , Antonino Flachi , José P. S. Lemos