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Electrodynamics for self-interacting scalar fields in spatially flat Friedmann-Robertson-Walker space-times is studied. The corresponding one-loop field equation for the expectation value of the complex scalar field in the conformal vacuum…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Giampiero Esposito , Gennaro Miele , Luigi Rosa , Pietro Santorelli

The off-shell entropy for a massless scalar field in a D-dimensional Rindler-like space-time is investigated within the conical Euclidean approach in the manifold $C_\be\times\M^N$, $C_\be$ being the 2-dimensional cone, making use of the…

High Energy Physics - Theory · Physics 2009-10-30 Sergio Zerbini , Guido Cognola , Luciano Vanzo

In the in-/out-state formalism we find the exact one-loop effective action of a massive scalar field in the global coordinates of de Sitter spaces, which is a gravity analog of the Heisenberg-Euler action in QED. The nonperturbative…

High Energy Physics - Theory · Physics 2010-08-04 Sang Pyo Kim

A large mass expansion of the one-loop effective action of a scalar field on the two-dimensional Minkowski spacetime is found in the system of coordinates, where the metric $g_{\mu\nu}(t,x)\neq\eta_{\mu\nu}=diag(1,-1)$, and…

High Energy Physics - Theory · Physics 2016-02-01 P. O. Kazinski , V. D. Miller

We calculate the quantum effective action for a scalar field which has been recently used for a specific kind of symmetry breaking in gravity. Our study consists of calculating the 1-loop path integral of canonical momentum and determining…

High Energy Physics - Theory · Physics 2014-03-04 Amin Akhavan

We explore the question of how to probe the vacuum structure of space time by a massive scalar field through interaction with background gravitons. Using the $\Gamma$-regularization for the in-/out-state formalism, we find the effective…

High Energy Physics - Theory · Physics 2015-05-27 Sang Pyo Kim

We consider a neutral self-interacting massive scalar field defined in a d-dimensional Euclidean space. Assuming thermal equilibrium, we discuss the one-loop perturbative renormalization of this theory in the presence of rigid boundary…

High Energy Physics - Theory · Physics 2009-11-10 N. F. Svaiter

We study an integral representation for the zeta function of the one-loop effective potential for a minimally coupled massive scalar field in D-dimensional de Sitter spacetime. By deforming the contour of integration we present it in a form…

High Energy Physics - Theory · Physics 2009-10-30 Alan Chodos , Andras Kaiser

The optical manifold method to compute the one-loop effective action in a static space-time is extended from the massless scalar field to the Maxwell field in any Feynman-like covariant gauge. The method is applied to the case of the…

High Energy Physics - Theory · Physics 2014-11-18 Valter Moretti , Devis Iellici

The one-loop effective potential for gauge models in static de Sitter space at finite temperatures is computed by means of the $\zeta$--function method. We found a simple relation which links the effective potentials of gauge and scalar…

High Energy Physics - Theory · Physics 2016-09-06 Lara De Nardo , Dmitri V. Fursaev , Gennaro Miele

The explicit expressions for the one-loop non-perturbative corrections to the gravitational effective action induced by a scalar field on a stationary gravitational background are obtained both at zero and finite temperatures. The…

General Relativity and Quantum Cosmology · Physics 2014-09-09 I. S. Kalinichenko , P. O. Kazinski

We derive a systematic treatment of one-loop effective potentials for interacting scalar fields in curved spacetimes, providing a general formula valid in arbitrary geometries and explicit results for de Sitter and anti-de Sitter…

High Energy Physics - Theory · Physics 2026-03-03 Alfio Bonanno , Sergio Luigi Cacciatori , Ugo Moschella

We consider the one-loop renormalization of a real scalar field interacting with a Dirac spinor field in curved spacetime. A general Yukawa interaction is considered which includes both a scalar and a pseudoscalar coupling. The scalar field…

High Energy Physics - Theory · Physics 2018-07-04 David J. Toms

In this paper we have considered the renormalized one-loop effective action for massless self-interacting scalar field in the 3-dimensional ball. The scalar field satisfies Dirichlet boundary condition on the ball. Using heat kernel…

High Energy Physics - Theory · Physics 2007-05-23 M. R. Setare , Kh. Saaidi

We investigate the one-loop corrections at zero, as well as finite temperature, of a scalar field taking place in a braneworld motived warped background. After to reach a well defined problem, we calculate the effective action with the…

High Energy Physics - Theory · Physics 2015-11-18 J. M. Hoff da Silva , E. L. Mendonça , E. Scatena

The one-loop divergences for the scalar field theory with Lorentz and/or CPT breaking terms are obtained in curved space-time. We analyze two separate cases: minimal coupled scalar field with gravity and nonminimal one. For the minimal case…

High Energy Physics - Theory · Physics 2018-04-04 Tibério de Paula Netto

Using the effective potential, we study the one-loop renormalization of a massive self-interacting scalar field at finite temperature in flat manifolds with one or more compactified spatial dimensions. We prove that, owing to the…

High Energy Physics - Theory · Physics 2009-10-28 L. H. Ford , N. F. Svaiter

To motivate our discussion, we consider a 1+1 dimensional scalar field interacting with a static Coulomb-type background, so that the spectrum of quantum fluctuations is given by a second-order differential operator on a single coordinate r…

Mathematical Physics · Physics 2020-12-02 Horacio Falomir , Joaquín Liniado , Pablo Pisani

This paper extends the calculation of quantum corrections to the cosmological correlation $<\zeta\zeta>$, which has been done by Weinberg for a loop of minimally coupled scalars, to other types of matter loops and a general and realistic…

High Energy Physics - Theory · Physics 2008-11-26 Kanokkuan Chaicherdsakul

We calculate a temperature dependent part of the one-loop thermodynamic potential (and the free energy) for charged massive fields in a general class of irreducible rank 1 symmetric spaces. Both low- and high-temperature expansions are…

High Energy Physics - Theory · Physics 2008-11-26 I. Brevik , A. A. Bytsenko , A. E. Goncalves , F. L. Williams