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Quantum energy inequalities (QEIs) are state-independent lower bounds on weighted averages of the stress-energy tensor, and have been established for several free quantum field models. We present rigorous QEI bounds for a class of…

Mathematical Physics · Physics 2009-11-10 Christopher J. Fewster , Stefan Hollands

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…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Jerzy Matyjasek , Dariusz Tryniecki , Katarzyna Zwierzchowska

We consider the stress tensor in the massless Sine--Gordon model in the finite regime $\beta^2 < 4 \pi$ of the theory. We prove convergence of the renormalised perturbative series for the interacting stress tensor defined using the…

Mathematical Physics · Physics 2023-05-12 Markus B. Fröb , Daniela Cadamuro

Nonlinearities in the dispersion relations associated with different interactions designs, boundary conditions and the existence of a physical cut-off scale can alter the quantum vacuum energy of a nonrelativistic system nontrivially. As a…

High Energy Physics - Theory · Physics 2024-01-08 Matthew Edmonds , Antonino Flachi , Marco Pasini

A method is presented which allows for the numerical computation of the stress-energy tensor for a quantized massless minimally coupled scalar field in the region outside the event horizon of a 4D Schwarzschild black hole that forms from…

General Relativity and Quantum Cosmology · Physics 2021-11-30 Shohreh Gholizadeh Siahmazgi , Paul R. Anderson , Raymond D. Clark , Alessandro Fabbri

We consider a quantum deformation of the wave equation on a cosmological background as a toy-model for possible trans-Planckian effects. We compute the power spectrum of scalar and tensor fluctuations for power-law inflation, and find a…

High Energy Physics - Theory · Physics 2009-11-10 Sera Cremonini

We analyze the gravity-induced effects associated with a massless scalar field in a higher-dimensional spacetime being the tensor product of $(d-n)$-dimensional Minkowski space and $n$-dimensional spherically/cylindrically-symmetric space…

High Energy Physics - Theory · Physics 2017-03-08 Yuri V. Grats , Pavel Spirin

We study the renormalization of some dimension-4, 7 and 10 operators in a class of nonlinear scalar-tensor theories. These theories are invariant under: (a) linear diffeomorphisms which represent an exact symmetry of the full non-linear…

High Energy Physics - Theory · Physics 2013-04-17 Claudia de Rham , Gregory Gabadadze , Lavinia Heisenberg , David Pirtskhalava

We study the effective stress-energy tensor induced by cosmological inhomogeneity in $f(R)=R+cR^2$ and equivalent scalar-tensor theories, motivated both by models of early universe inflation and by phenomenological alternative cosmologies…

General Relativity and Quantum Cosmology · Physics 2014-09-10 Anthony W. H. Preston , Tim R. Morris

We consider the one-loop renormalization of dimension four composite operators and the energy-momentum tensor in noncommutative \phi^4 scalar field theory. Proper operator bases are constructed and it is proved that the bare composite…

High Energy Physics - Theory · Physics 2009-11-10 S. Bellucci , I. L. Buchbinder , V. A. Krykhtin

In this paper we discuss the effects of nontrivial boundary conditions or backgrounds, including non-perturbative ones, on the renormalization program for systems in two dimensions. Here we present an alternative renormalization procedure…

High Energy Physics - Theory · Physics 2008-11-26 Reza Moazzemi , Abdollah Mohammadi , Siamak S. Gousheh

We analyze the semiclassical Einstein equations for quantum scalar fields satisfying modified dispersion relations. We first discuss in detail the renormalization procedure based on adiabatic subtraction and dimensional regularization. We…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Diana López Nacir , Francisco D. Mazzitelli

Employing the approximate effective action constructed from the coincidence limit of the Hadamard-Minakshisundaram-DeWitt (HaMiDeW) coefficient a_{3}, the renormalized stress-energy tensor of the quantized massive scalar field in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jerzy Matyjasek

We examine the lowest order quantum corrections to the effective action arising from a quantized real scalar field in the Randall-Sundrum background spacetime. The leading term is the familiar vacuum, or Casimir, energy density. The next…

High Energy Physics - Theory · Physics 2009-11-07 A. Flachi , D. J. Toms

We present a simple model for stellar collapse and evaluate the quantum mechanical stress-energy tensor to argue that quantum effects do not play an important role for the collapse of astrophysical objects.

General Relativity and Quantum Cosmology · Physics 2018-01-17 Bruno Arderucio-Costa , William Unruh

The standard energy conditions of classical general relativity are (mostly) linear in the stress-energy tensor, and have clear physical interpretations in terms of geodesic focussing, but suffer the significant drawback that they are often…

General Relativity and Quantum Cosmology · Physics 2017-03-30 Prado Martin-Moruno , Matt Visser

The next-to-leading term of the renormalized stress-energy tensor of the quantized massive field with an arbitrary curvature coupling in the spacetime of the Schwarzschild black hole is constructed. It is achieved by functional…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Jerzy Matyjasek , Dariusz Tryniecki

We calculate the energy density and pressure of a scalar field after its decoupling from a thermal bath in the spatially flat Friedman-Lema\^itre-Robertson-Walker space-time, within the framework of quantum statistical mechanics. By using…

General Relativity and Quantum Cosmology · Physics 2023-08-09 F. Becattini , D. Roselli

The expectation value of the stress-energy tensor of a free conformally invariant scalar field is computed in a two-dimensional reduction of the Alcubierre ``warp drive'' spacetime. The stress-energy is found to diverge if the apparent…

General Relativity and Quantum Cosmology · Physics 2010-04-06 William A. Hiscock

In grand unified theories with large numbers of fields, renormalization effects significantly modify the scale at which quantum gravity becomes strong. This in turn can modify the boundary conditions for coupling constant unification, if…

High Energy Physics - Phenomenology · Physics 2009-02-02 Xavier Calmet , Stephen D. H. Hsu , David Reeb
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