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Finite-temperature one-loop renormalization of the Standard Model, coupled with dynamic metric, is conducted in this study. The entire analysis is coherently carried out by using the refined background field method, applied in the spirit of…

High Energy Physics - Theory · Physics 2025-07-29 I. Y. Park

We investigate the behavior of scalar quantum fields in cosmological backgrounds under modified dispersion relations, specifically focusing on how ultraviolet asymptotics influence field quantization. We establish the conditions for both…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Christian Durán-Romero , Luis J. Garay , Mercedes Martín-Benito , Rita B. Neves

In this thesis, we investigate the method of conformal renormalization applied to theories with degrees of freedom beyond the metric ones. Specifically, we examine this method in the presence of a scalar field. To do this, as part of a…

High Energy Physics - Theory · Physics 2023-11-13 Mairym Busnego-Barrientos

The averaging problem in general relativity concerns the difficulty of defining meaningful averages of tensor quantities and we consider various aspects of the problem. We first address cosmological backreaction which arises because the…

General Relativity and Quantum Cosmology · Physics 2008-12-16 Juliane Behrend

In order to reconcile the non conventional character of brane cosmology with standard Friedmann cosmology, we introduce in this paper a slowly-varying quintessence scalar field in the brane and analyse the cosmological solutions…

High Energy Physics - Theory · Physics 2009-10-31 Pedro F. Gonzalez-Diaz

Renormalization is a powerful technique in statistical physics to extract the large-scale behavior of interacting many-body models. These notes aim to give an introduction to perturbative methods that operate on the level of the stochastic…

Statistical Mechanics · Physics 2023-03-09 Nikos Papanikolaou , Thomas Speck

This paper is devoted to the construction of the renormalized quantum stress energy tensor $\left<T_{\mu}^{\nu}\right>_{ren}$ for a massive scalar field with arbitrary coupling to the gravitational field of a pointlike global monopole,…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Owen Pavel Fernández Piedra

This paper undertakes a conceptual re-examination of several foundational elements of cosmology through the lens of spacetime symmetries. A new derivation of the Friedmann-Lema\^itre-Robertson-Walker metric is obtained by a careful…

General Physics · Physics 2025-12-22 Lavinia Heisenberg

A field theoretic renormalization group method is presented which is capable of dealing with crossover problems associated with a change in the upper critical dimension. The method leads to flow functions for the parameters and coupling…

Condensed Matter · Physics 2015-06-25 Erwin Frey

We consider a scalar field with a Gauss-Bonnet-type coupling to the curvature in a curved space-time. For such a quadratic coupling to the curvature, the metric energy-momentum tensor does not contain derivatives of the metric of orders…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yu. V. Pavlov

The basic equations describing a Newtonian universe with uniform pressure are reexamined. We argue that in the semi-classical formulation adopted in the literature the continuity equation has a misleading pressure gradient term. When this…

Astrophysics · Physics 2016-01-13 J. A. S. Lima , V. Zanchin , R. Brandenberger

We write new functional renormalization group equations for a scalar nonminimally coupled to gravity. Thanks to the choice of the parametrization and of the gauge fixing they are simpler than older equations and avoid some of the…

High Energy Physics - Theory · Physics 2015-05-20 Roberto Percacci , Gian Paolo Vacca

We reformulate the averaged Einstein equations in a form suitable for use with Newtonian gauge linear perturbation theory and track the size of the modifications to standard Robertson-Walker evolution on the largest scales as a function of…

Astrophysics · Physics 2008-11-26 Juliane Behrend , Iain A. Brown , Georg Robbers

Standard entropy calculations in quantum field theory, when applied to a subsystem of definite volume, exhibit area-dependent UV divergences that make a thermodynamic interpretation troublesome. In this paper we define a renormalized…

High Energy Physics - Theory · Physics 2009-01-28 Sergio Cacciatori , Fabio Costa , Federico Piazza

Using as an example the Einstein gravity with the cosmological constant, we discuss the calculation of renormalization group functions off shell. We found, that gauge dependent terms should be absorbed by the nonlinear renormalization of…

General Relativity and Quantum Cosmology · Physics 2008-02-03 K. Kazakov , P. Pronin , K. Stepanyantz

We briefly review how it is possible to derive some exact expressions for the renormalization constants for the MS-like renormalization prescriptions using the arguments based on the renormalization group. These expressions are obtained for…

High Energy Physics - Theory · Physics 2025-02-19 Konstantin Stepanyantz

We compute the renormalized stress-energy tensor for a massless quantum scalar field in the background of the horizonless Bardeen spacetime. Within the weak-field approximation, we show that the vacuum fluctuations differ significantly…

High Energy Physics - Theory · Physics 2025-12-17 Andrés Boasso , Francisco D. Mazzitelli

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

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

Strictly respecting the Einstein equations and supposing space-time is a medium, we derive the deformation of this medium by gravity. We derive the deformation in case of infinite plane, Robertson-Walker manifold, Schwarzschild manifold and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Miroslav Pardy
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