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Related papers: Vacuum Zero Point Energy and its Statistical Corre…

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We compute Zero Point Energy in a spherically symmetric background with the help of the Wheeler-DeWitt equation. This last one is regarded as a Sturm-Liouville problem with the cosmological constant considered as the associated eigenvalue.…

General Relativity and Quantum Cosmology · Physics 2012-12-19 Remo Garattini

We study the cosmological dynamics of dark energy in a scalar-vector-torsion theory. The vector field is described by the cosmic triad and the scalar field is of the quintessence type with non-minimal coupling to gravity. The coupling to…

General Relativity and Quantum Cosmology · Physics 2023-07-11 Manuel Gonzalez-Espinoza , Giovanni Otalora , Yoelsy Leyva , Joel Saavedra

We obtain in closed form the probability distribution for individual measurements of the stress-energy tensor of two-dimensional conformal field theory in the vacuum state, smeared in time against a Gaussian test function. The result is a…

Quantum Physics · Physics 2011-08-15 Christopher J. Fewster , L. H. Ford , Thomas A. Roman

It is argued that the zero-point energies of free quantum fields diverge at most quadratically and not quartically, as is generally believed. This is a consequence of the relativistic invariance which requires that the energy density of the…

High Energy Physics - Theory · Physics 2007-05-23 E. Kh. Akhmedov

We calculate the vacuum energy density by taking account of different massive scalar fields in AdS spacetime. It is found that the mass spectrum of a scalar field in AdS spacetime is discrete because of a natural boundary condition. The…

Astrophysics · Physics 2009-11-06 Zhe Chang , Xin-Bing Huang

The response of vacuum to the presence of external conditions is the subject of this work. We consider a generalization of the Casimir effect in the presence of curved boundaries on which a sharp potential is concentrated. The profile of…

High Energy Physics - Theory · Physics 2007-05-23 M. Scandurra

We investigate the combined effects of a uniform magnetic field and boundary conditions on vacuum energy and topological mass generation in a coupled scalar field theory. The system consists of a real scalar field, subject to Dirichlet…

High Energy Physics - Theory · Physics 2025-12-11 A. J. D. Farias Junior , Andrea Erdas , Herondy F. Santana Mota

The regularized vacuum energy (or energy density) of a quantum field subjected to static external conditions is shown to satisfy a certain partial differential equation with respect to two variables, the mass and the "time" (ultraviolet…

Mathematical Physics · Physics 2009-11-11 S. A. Fulling

Motivated by a desire to understand quantum fluctuation energy densities and stress within a spatially varying dielectric medium, we examine the vacuum expectation value for the stress tensor of a scalar field with arbitrary conformal…

High Energy Physics - Theory · Physics 2016-05-17 Kimball A. Milton , Stephen A. Fulling , Prachi Parashar , Pushpa Kalauni , Taylor Murphy

Quantum field theory predicts that vacuum energy (or what is the same, cosmological constant) should be 50-100 orders of magnitude larger than the existing astronomical limit. A very brief review of possible solutions of this problem is…

Astrophysics · Physics 2007-05-23 A. D. Dolgov

The form of the vacuum stress-tensor for the quantized scalar field at a dielectric to vacuum interface is studied. The dielectric is modeled to have an index of refraction that varies with frequency. We find that the stress-tensor…

High Energy Physics - Theory · Physics 2009-10-31 Michael John Pfenning

Within the context of quantum field theory in curved spacetimes, Hacyan and Sarmiento defined the vacuum stress-energy tensor with respect to the accelerated observer. They calculated it for uniform acceleration and circular motion, and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 T. Hirayama , T. Hara

We consider the vacuum energy of massive quantum fields in an expanding universe. We define a conserved renormalized energy-momentum tensor by means of a comoving cutoff regularization. Using exact solutions for de Sitter space-time, we…

General Relativity and Quantum Cosmology · Physics 2014-12-10 F. D. Albareti , J. A. R. Cembranos , A. L. Maroto

We present a study of energy density and pressure of a free real scalar quantum field after its decoupling from a thermal bath in the spatially flat Friedman-Lema\^itre-Robertson-Walker space-time by solving the Klein-Gordon equation both…

General Relativity and Quantum Cosmology · Physics 2025-04-15 F. Becattini , D. Roselli

This paper presents a theoretical calculation of the vacuum energy density by summing the contributions of all quantum fields vacuum states which turns out to indicate that there seems to be a missing bosonic contribution in order to match…

General Physics · Physics 2021-05-03 Siamak Tafazoli

We construct and study the vacuum polarization, $\langle \phi^{2}\rangle_{D},$ of the quantized massive scalar field with a general curvature coupling parameter in higher-dimensional static and spherically-symmetric black hole spacetimes,…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Jerzy Matyjasek , Dariusz Tryniecki

We derive the explicit expression for the four-point correlation function of stress-energy tensors in four-dimensional N=4 superconformal theory. We show that it has a remarkably simple and suggestive form allowing us to predict a large…

High Energy Physics - Theory · Physics 2016-01-27 G. P. Korchemsky , E. Sokatchev

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 renormalized mean value of the corresponding components of the Energy-Momentum tensor for massive scalar fields coupled to an arbitrary gravitational field configuration having cylindrical symmetry are analytically evaluated using the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Owen Pavel Fernandez Piedra , Alejandro Cabo Montes de Oca

We compute the renormalized expectation value of the stress-energy tensor operator for a quantum scalar field propagating on three-dimensional global anti-de Sitter space-time. The scalar field has general mass and nonminimal coupling to…

High Energy Physics - Theory · Physics 2025-06-23 Sivakumar Namasivayam , Elizabeth Winstanley