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The renormalized mean value of the quantum Lagrangian and the Energy-Momentum tensor for scalar fields coupled to an arbitrary gravitational field configuration are analytically evaluated in the Schwinger-DeWitt approximation, up to second…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Owen Pavel Fernandez Piedra , Alejandro Cabo Montes de Oca

We consider a massive scalar field living on the recently found exact quantum space-time corresponding to vacuum spherically symmetric loop quantum gravity. The discreteness of the quantum space time naturally regularizes the scalar field,…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Nahuel Barrios , Rodolfo Gambini , Jorge Pullin

We discuss massive scalar field with conformal coupling in Friedmann-Robertson-Walker (FRW) Universe of special type with constant electromagnetic field. Treating an external gravitational-electromagnetic background exactly, at first time…

High Energy Physics - Theory · Physics 2009-09-17 S. P. Gavrilov , D. M. Gitman , S. D. Odintsov

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

It has been shown that the negative norm states necessarily appear in a covariant quantization of the free minimally coupled scalar field in de Sitter space [1,2]. In this process ultraviolet and infrared divergences have been automatically…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mohammad Vahid Takook

It is well known that single real scalar field does not allow gauge coupling to the Abelian vector field. Using the complex scalar model as a starting point, we construct the Abelian gauge model with two real scalars. The gauge…

General Physics · Physics 2025-12-04 Lucas Ducastelo de C. C. Lima , Ilya L. Shapiro

We consider a real massive free quantum scalar field with arbitrary curvature coupling on $n$-dimensional anti-de Sitter space-time. We use Hadamard renormalization to find the vacuum expectation values of the quadratic field fluctuations…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Carl Kent , Elizabeth Winstanley

The approximate stress-energy tensor of the quantized massive scalar, spinor and vector fields in the spatially flat Friedman-Robertson-Walker universe is constructed. It is shown that for the scalar fields with arbitrary curvature…

General Relativity and Quantum Cosmology · Physics 2013-11-19 Jerzy Matyjasek , Paweł Sadurski

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

The Pauli--Villars regularization procedure confirms and sharpens the conclusions reached previously by covariant point splitting. The divergences in the stress tensor of a quantized scalar field interacting with a static scalar potential…

High Energy Physics - Theory · Physics 2018-03-07 S. A. Fulling , T. E. Settlemyre , K. A. Milton

The approximation of the renormalized stress-energy tensor of the quantized massive scalar, spinor, and vector field in the Reissner- Nordstrom spacetime is constructed. It is achieved by functional differentiation of the lowest order of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jerzy Matyjasek

We consider the renormalization of the one-loop effective action for the Yukawa interaction. We compute the beta functions in the generalized DeWitt-Schwinger subtraction scheme. For the quantized scalar field we obtain that all the beta…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Sergi Nadal-Gisbert , Antonio Ferreiro , José Navarro-Salas

The treatment of a quantized field in a curved spacetime requires the study of backreaction of the field on the spacetime via the semiclassical Einstein equation. We consider a free scalar field in spatially flat Robertson-Walker space…

Mathematical Physics · Physics 2011-07-14 Benjamin Eltzner , Hanno Gottschalk

In a four-dimensional spacetime, the DeWitt-Schwinger expansion of the effective action associated with a massive quantum field reduces, after renormalization and in the large mass limit, to a single term constructed from the purely…

General Relativity and Quantum Cosmology · Physics 2014-09-12 Andrei Belokogne , Antoine Folacci

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

In this paper we examine some aspects of the field of a scalar point charge in curved spacetimes. First we find the closed form solution for the scalar field due to a point charge in Schwarzschild spacetime. Then we expand it locally in…

General Relativity and Quantum Cosmology · Physics 2009-05-18 Swapnil Tripathi

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

A scalar charged particle moving in a curved background spacetime will emit a field affecting its own motion; the resolving of this resulting motion is often referred to as the self-force problem. This also serves as a toy model for the…

General Relativity and Quantum Cosmology · Physics 2022-09-28 Anna Heffernan

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

The components of the renormalized quantum stress tensor for a massive vector field in the spacetime of a pointlike global monopole are determined analytically in the Schwinger-DeWitt approximation. The general results are employed to…

General Relativity and Quantum Cosmology · Physics 2019-04-30 Owen Pavel Fernández Piedra
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