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Explicit expressions for the expectation values and the variances of some observables, which are bilinear quantities in the quantum fields on a D-dimensional manifold, are derived making use of zeta function regularization. It is found that…

High Energy Physics - Theory · Physics 2009-11-07 Guido Cognola , Emilio Elizalde , Sergio Zerbini

The finite-temperature one-loop effective potential for a scalar field in the static de Sitter space-time is obtained. Within this framework, by using zeta-function regularization, one can get, in the conformally invariant case, the…

High Energy Physics - Theory · Physics 2009-10-22 D. V. Fursaev , G. Miele

We re-evaluate the zero point Casimir energy for the case of a massive scalar field in $\mathbf{R}^{1}\times\mathbf{S}^{3}$ space, allowing also for deviations from the standard conformal value $\xi =1/6$, by means of zero temperature zeta…

High Energy Physics - Theory · Physics 2009-11-10 E. Elizalde , A. C. Tort

We investigate the behaviour of quantum fields in null-shifted Rindler wedges and analyse the particle spectra perceived by accelerated observers associated with these null deformations. Unlike the standard Unruh effect, our analysis…

High Energy Physics - Theory · Physics 2026-04-17 Rakesh K Jha

We study the effects of Snyder-de Sitter commutation relations on relativistic bosons by solving analytically in the momentum space representation the Klein-Gordon oscillator in arbitrary dimensions. The exact bound states spectrum and the…

Quantum Physics · Physics 2021-02-16 Zoubir Hemame , Mokhtar Falek , Mustafa Moumni

Expectation values of one-loop renormalized thermal equilibrium stress-energy tensors of free conformal scalars, spin-${1 \over 2}$ fermions and U(1) gauge fields on a Schwarzschild black hole background are used as sources in the…

General Relativity and Quantum Cosmology · Physics 2012-08-27 David Hochberg , Thomas W. Kephart , James W. York,

We first briefly review some aspects of the techniques of dealing with ultraviolet divergences in Feynman amplitudes in an Euclidian $D$-dimensional space-time. Next we consider compactification of a $d$-dimensional ($d\leq D$) subspace.…

High Energy Physics - Theory · Physics 2009-10-15 F. C. Khanna , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

Massless and massive scalar fields and massless spinor fields are considered at arbitrary temperatures in four dimensional ultrastatic curved spacetime. Scalar models under consideration can be either conformal or nonconformal and include…

High Energy Physics - Theory · Physics 2016-08-25 Yu. V. Gusev , A. I Zelnikov

We discuss the quantum corrections to thermodynamics (and geometry) of S(A)dS BHs using large $N$ one-loop anomaly induced effective action for dilaton coupled matter (scalars and spinors). It is found the temperature, mass and entropy with…

High Energy Physics - Theory · Physics 2009-10-31 Shin'ichi Nojiri , Sergei D. Odintsov

Generalizing previous quantum gravity results for Schwarzschild black holes from 4 to D > 3 space-time dimensions yields an energy spectrum E_n = alpha n^{(D-3)/(D-2)} E_P, n=1,2,..., alpha = O(1), where E_P is the Planck energy in that…

General Relativity and Quantum Cosmology · Physics 2017-09-27 H. A. Kastrup

In contrast to the 3D case, different approaches for deriving the gravitational corrections to the Heisenberg uncertainty relation do not lead to the unique result whereas additional spatial dimensions are present in the theory. We suggest…

High Energy Physics - Theory · Physics 2015-03-19 Michael Maziashvili

The shape fluctuations due to thermal effects in the giant dipole resonance (GDR) observables are calculated using the exact free energies evaluated at fixed spin and temperature. The results obtained are compared with Landau theory…

Nuclear Theory · Physics 2009-11-10 P. Arumugam , G. Shanmugam , S . K. Patra

Canonical quantization of spherically symmetric initial data which is appropriate to classical interior black hole solutions in four dimensions is carried out and solved exactly without gauge fixing the remaining kinematic Gauss Law…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Chung-Hsien Chou , Chopin Soo , Hoi-Lai Yu

Finite temperature corrections to the effective potential and the energy-momentum tensor of a scalar field are computed in a perturbed Minkoswki space-time. We consider the explicit mode decomposition of the field in the perturbed geometry…

High Energy Physics - Theory · Physics 2018-06-27 Franco D. Albareti , Antonio L. Maroto , Francisco Prada

We investigate the thermal properties of $\mathcal{PT}$-symmetric scalar field theories with purely imaginary couplings. The free energy governs the asymptotic density of states, providing an effective measure of the number of degrees of…

High Energy Physics - Theory · Physics 2026-04-10 Oleksandr Diatlyk , Andrei Katsevich , Fedor K. Popov

The character of quantum corrections to the gravitational action of a conformally invariant field theory for a self-interacting scalar field on a manifold with boundary is considered at third loop-order in the perturbative expansion of the…

High Energy Physics - Theory · Physics 2009-11-07 George Tsoupros

We express the zeta function associated to the Laplacian operator on $S^1_r\times M$ in terms of the zeta function associated to the Laplacian on $M$, where $M$ is a compact connected Riemannian manifold. This gives formulas for the…

Mathematical Physics · Physics 2009-11-10 G. Ortenzi , M. Spreafico

The finite temperature Casimir effect for a charged, massive scalar field confined between very large, perfectly conducting parallel plates is studied using the zeta function regularization technique. The scalar field satisfies Dirichlet…

High Energy Physics - Theory · Physics 2015-06-18 Andrea Erdas , Kevin P. Seltzer

The zeta function regularization technique is used to study the finite temperature Casimir effect for a charged and massless scalar field confined between parallel plates and satisfying Dirichlet boundary conditions at the plates. A…

High Energy Physics - Theory · Physics 2013-11-13 Andrea Erdas , Kevin P. Seltzer

The mean square fluctuation and the expectation value of the stress-energy-momentum tensor of a neutral massive scalar field at finite temperature are determined near an infinite plane Dirichlet wall, and also near an infinite plane Neumann…

High Energy Physics - Theory · Physics 2015-03-23 V. A. De Lorenci , L. G. Gomes , E. S. Moreira