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We develop a formalism to treat higher order (nonlinear) metric perturbations of the Kerr spacetime in a Teukolsky framework. We first show that solutions to the linearized Einstein equation with nonvanishing stress tensor can be decomposed…

广义相对论与量子宇宙学 · 物理学 2020-09-15 Stephen R. Green , Stefan Hollands , Peter Zimmerman

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…

高能物理 - 理论 · 物理学 2021-10-29 S. A. Franchino-Viñas , M. N. Mantiñan , F. D. Mazzitelli

We show that promoting the trace part of the Einstein equations to a trivial identity results in the Newton constant being an integration constant. Thus, in this formulation the Newton constant is a global dynamical degree of freedom which…

广义相对论与量子宇宙学 · 物理学 2021-04-16 Pavel Jiroušek , Keigo Shimada , Alexander Vikman , Masahide Yamaguchi

We apply the Effective Field Theory approach to General Relativity, introduced by Goldberger and Rothstein, to study point-like and string-like sources in the context of scalar-tensor theories of gravity. Within this framework we compute…

广义相对论与量子宇宙学 · 物理学 2014-11-18 Umberto Cannella , Riccardo Sturani

First, the present work is concerned with generalising constructions and results in quantum field theory on curved spacetimes from the well-known case of the Klein-Gordon field to Dirac fields. To this end, the enlarged algebra of…

广义相对论与量子宇宙学 · 物理学 2010-10-22 Thomas-Paul Hack

The microcanonical statistical mechanics of a set of self-gravitating particles is analyzed in mean-field approach. In order to deal with an upper bounded entropy functional, a softened gravitational potential is used. The softening is…

统计力学 · 物理学 2008-11-26 Eduardo Follana , Victor Laliena

For a strictly pseudoconvex domain in a complex manifold we define a renormalized volume with respect to the approximately Einstein complete K\"ahler metric of Fefferman. We compute the conformal anomaly in complex dimension two and apply…

微分几何 · 数学 2011-11-10 Neil Seshadri

In this paper we calculate the vacuum expectation values of the stress-energy bitensor of a massive quantum scalar field with general coupling to N-dimensional Euclidean spaces and hyperbolic spaces which are Euclidean sections of the…

高能物理 - 理论 · 物理学 2011-09-08 H. T. Cho , B. L. Hu

We present a model in which the breackdown of conformal symmetry of a quantum stress-tensor due to the trace anomaly is related to a cosmological effect in a gravitational model. This is done by characterizing the traceless part of the…

高能物理 - 理论 · 物理学 2007-05-23 H. Salehi , Y. Bisabr

We generalise the classical Transition by Breaking of Analyticity for the class of Frenkel-Kontorova models studied by Aubry and others to non-zero Planck's constant and temperature. This analysis is based on the study of a renormalization…

统计力学 · 物理学 2009-11-11 Nuno R. Catarino , Robert S. MacKay

A new two-step renormalization procedure is proposed. In the first step, the effects of high-energy states are considered in the conventional (Feynman) perturbation theory. In the second step, the coupling to many-body states is eliminated…

高能物理 - 理论 · 物理学 2009-10-30 Koji Harada , Atsushi Okazaki

The functional renormalisation group for the Einstein-Hilbert action is investigated for the case of four infinite (or large) and one compact dimension. The motivation for this study is given by the suggestion that gravity in more than four…

广义相对论与量子宇宙学 · 物理学 2018-10-01 Natalia Alkofer

We argue that our recent success in using our resummed quantum gravity approach to Einstein's general theory of relativity, in the context of the Planck scale cosmology formulation of Bonanno and Reuter, to estimate the value of the…

高能物理 - 唯象学 · 物理学 2015-10-28 B. F. L. Ward

We present a complete momentum-space prescription for the renormalisation of tensorial correlators in conformal field theories. Our discussion covers all 3-point functions of stress tensors and conserved currents in arbitrary spacetime…

高能物理 - 理论 · 物理学 2026-04-01 Adam Bzowski , Paul McFadden , Kostas Skenderis

Non-perturbative renormalisation of a general class of scalar field theories is performed at the Hartree level truncation of the 2PI effective action in the broken symmetry regime. Renormalised equations are explicitly constructed for the…

高能物理 - 唯象学 · 物理学 2008-11-26 G. Fejos , A. Patkos , Zs. Szep

This work explores an alternative solution to the problem of renormalizability in Einstein gravity. In the proposed approach, Einstein gravity is transformed into the renormalizable theory of four-derivative gravity by applying a field…

高能物理 - 理论 · 物理学 2018-03-13 Brian Slovick

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…

广义相对论与量子宇宙学 · 物理学 2015-03-18 Carl Kent , Elizabeth Winstanley

We develop a semiclassical theory of modified gravity with nontrivial spacetime torsion. In particular, we show that the semiclassical treatment can be axiomatized in the case of Einstein--Cartan theory with a nonminimally coupled, free…

广义相对论与量子宇宙学 · 物理学 2026-02-26 R. Morales-Cabrera , Y. Bonder

We compute the leading order contribution to the stress-energy tensor corresponding to the modes of a quantum scalar field propagating in a Friedmann-Robertson-Walker universe with arbitrary coupling to the scalar curvature, whose exact…

广义相对论与量子宇宙学 · 物理学 2011-05-02 Ali Kaya , Merve Tarman

The universal critical behavior of the driven-dissipative non-equilibrium Bose-Einstein condensation transition is investigated employing the field-theoretical renormalization group method. Such criticality may be realized in broad ranges…

统计力学 · 物理学 2014-04-18 Uwe C. Tauber , Sebastian Diehl