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We consider a self-interacting scalar field theory in a slowly varying gravitational background field. Using zeta-function regularization and heat-kernel techniques, we derive the one-loop effective Lagrangian up to second order in the…

High Energy Physics - Theory · Physics 2009-10-22 Klaus Kirsten , Guido Cognola , Luciano Vanzo

We consider the one-loop effective action due to gravitons in a FLRW background with constant epsilon=-(dH/dt)/H^2. By expanding around epsilon=0 (corresponding to an expansion around de Sitter space), we can study how the deviation from de…

General Relativity and Quantum Cosmology · Physics 2008-07-04 Tomas Janssen , Shun-Pei Miao , Tomislav Prokopec

We exploit a recent computation of one graviton loop corrections to the self-mass [1] to quantum-correct the field equation for a massless, conformally coupled scalar on a de Sitter background. With the obvious choice for the finite part of…

General Relativity and Quantum Cosmology · Physics 2021-06-02 D. Glavan , S. P. Miao , T. Prokopec , R. P. Woodard

We study the vacuum polarization of a massive scalar field $\phi$ with arbitrary coupling to gravity in pointlike global monopole spacetime. Using Schwinger-DeWitt proper time formalism, we calculate the vacuum expectation value…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Owen Pavel Fernández Piedra

The renormalized Feynman propagator for a scalar field in the background of a cosmic dispiration (a disclination plus a screw dislocation) is derived, opening a window to investigate vacuum polarization effects around a cosmic string with…

High Energy Physics - Theory · Physics 2012-08-27 V. A. De Lorenci , E. S. Moreira,

We study the graviton propagator in euclidean loop quantum gravity, using the spinfoam formalism. We use boundary-amplitude and group-field-theory techniques, and compute one component of the propagator to first order, under a number of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlo Rovelli

The one-loop effective action for the scalar field part of a non-Abelian gauge theory based on a general gauge group of the form $G\times U(1)$, where the gauge group $G$ is arbitrary, is calculated. A complex scalar field, both Abelian and…

High Energy Physics - Theory · Physics 2019-06-07 David J. Toms

The aim of this article is to calculate (to first order in $\hbar$) the renormalized effective action of a self interacting massive scalar field propagating in the space-time due to a cylindrically symmetric, rotating body. The vacuum…

High Energy Physics - Theory · Physics 2007-05-23 J. A. Briginshaw

A simple example is given of the implementation of the usual method of asymptotic expansions for weak gravitational fields. A scalar, preferred-frame theory of gravitation is considered, but the method is general. Two kinds of asymptotic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mayeul Arminjon

Using the twist deformation of $U(igl(4,R))$, the linear part of the diffeomorphism, we define a scalar function and construct a free scalar field theory in four-dimensional $\kappa$-Minkowski spacetime. The action in momentum space turns…

High Energy Physics - Theory · Physics 2010-03-04 Hyeong-Chan Kim , Youngone Lee , Chaiho Rim , Jae Hyung Yee

We compute the fully renormalized one-loop effective action for two interacting and self-interacting scalar fields in FRW space-time. We then derive and solve the quantum corrected equations of motion both for fields that dominate the…

General Relativity and Quantum Cosmology · Physics 2015-03-20 Tommi Markkanen , Anders Tranberg

We compute the gravitational effective action by integrating out quantum matter fields in a weak gravitational field, using the Schwinger-Keldysh (in-in) formalism. We pay particular attention to the role of the initial quantum state in the…

High Energy Physics - Theory · Physics 2017-11-15 M. Elías , F. D. Mazzitelli , L. G. Trombetta

We compute the counterterms necessary for the renormalization of the one-loop effective action of massive gravity from a worldline perspective. This is achieved by employing the recently proposed massive $\mathcal{N}=4$ spinning particle…

High Energy Physics - Theory · Physics 2024-04-22 Filippo Fecit

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

The non-local one-loop contribution to the gravitational effective action around de Sitter space is computed using the background field method with pure trace external gravitational fields and it is shown to vanish. The calculation is…

High Energy Physics - Theory · Physics 2009-10-28 I. Antoniadis , J. Iliopoulos , T. N. Tomaras

The effective field theory of dark energy and modified gravity is supposed to well describe, at low energies, the behaviour of the gravity modifications due to one extra scalar degree of freedom. The usual curvature perturbation is very…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Antonio De Felice , Noemi Frusciante , Georgios Papadomanolakis

The existence of a minimal and fundamental length scale, say, the Planck length, is a characteristic feature of almost all the models of quantum gravity. The presence of the fundamental length is expected to lead to an improved ultra-violet…

High Energy Physics - Theory · Physics 2010-03-05 Dawood Kothawala , S. Shankaranarayanan , L. Sriramkumar

We present a new general method for proving global decay of energy through a suitable spacetime foliation, as well as pointwise decay, starting from an integrated local energy decay estimate. The method is quite robust, requiring only…

Analysis of PDEs · Mathematics 2025-09-30 Mihalis Dafermos , Igor Rodnianski

We consider a free massless scalar field coupled to an infinite tower of background higher-spin gauge fields via minimal coupling to the traceless conserved currents. The set of Abelian gauge transformations is deformed to the non-Abelian…

High Energy Physics - Theory · Physics 2011-02-22 Xavier Bekaert , Euihun Joung , Jihad Mourad

We use dimensional regularization to evaluate the one loop contribution to the graviton self-energy from a massless, minimally coupled scalar on a locally de Sitter background. For noncoincident points our result agrees with the stress…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Sohyun Park , R. P. Woodard
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