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The field-theoretic one-loop effective action in a static scalar background depending nontrivially on a single spatial coordinate is related, in the proper-time formalism, to the trace of the evolution kernel (or heat kernel) for an…

High Energy Physics - Theory · Physics 2009-11-07 Chanju Kim , O-Kab Kwon , Choonkyu Lee

We construct and study singular functions in strong-field $QED$ with two external electromagnetic fields that represent principally different types of external backgrounds, the first one belongs to the class of so-called $t$-potential…

High Energy Physics - Theory · Physics 2021-08-13 A. I. Breev , S. P. Gavrilov , D. M. Gitman

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

We calculate the effective mass of gravitational perturbations induced by the interaction of the classical gravitational field with quantum matter in the background of the Poincar\'e patch of de Sitter space. Using the Schwinger-Keldysh…

High Energy Physics - Theory · Physics 2023-11-21 Damir Sadekov

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

It is shown that the vacuum of QED$_2$ in Minkowski spacetime does not favour a periodic electric mean field. The projected effective action exhibiting a genuine dependence on the non-vanishing background field has been introduced. The…

High Energy Physics - Theory · Physics 2011-04-15 S. Nagy , K. Sailer

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

It is shown for a class of random, time-independent, square-integrable, three-dimensional magnetic fields that the one-loop effective fermion action of four-dimensional QED increases faster than a quadratic in B in the strong coupling…

High Energy Physics - Theory · Physics 2015-05-30 M. P. Fry

We investigate the one-loop effective action for a test scalar field in a general Friedmann-Lema\^itre-Robertson-Walker (FLRW) background, specifically focusing on quantum corrections up to the second order in the interaction strength. By…

General Relativity and Quantum Cosmology · Physics 2026-02-02 Will Cerne , Teruaki Suyama

One-loop effective action of noncommutative scalar field theory with cubic self-interaction is studied. Utilizing worldline formulation, both planar and nonplanar part of the effective action are computed explicitly. We find complete…

High Energy Physics - Theory · Physics 2011-09-13 Youngjai Kiem , Soo-Jong Rey , Haru-Tada Sato , Jung-Tay Yee

We calculate the complete one-loop effective action for a spherical scalar field collapse in the large radius approximation. This action gives the complete trace anomaly, which beside the matter loop contributions, receives a contribution…

High Energy Physics - Theory · Physics 2009-01-16 A. Mikovic , V. Radovanovic

We calculate the bosonic string one-loop three- and four-point amplitudes to quadradic order in momentum, and we read off the one-loop low-energy two-derivative effective action for the massless fields, $S_{eff}$. Treating the renormalized…

High Energy Physics - Theory · Physics 2019-09-26 Sabine Harribey , Dimitrios Tsimpis

We study two-loop Euler-Heisenberg effective actions in three-dimensional N=2 and N=4 supersymmetric quantum electrodynamics (SQED) without Chern-Simons term. We find exact expressions for propagators of chiral superfields interacting with…

High Energy Physics - Theory · Physics 2015-06-16 I. L. Buchbinder , B. S. Merzlikin , I. B. Samsonov

We investigate some issues regarding quantum corrections for de Sitter branes in a bulk AdS(5) spacetime. The one-loop effective action for a Majorana spinor field is evaluated and compared with the scalar field result. We also evaluate the…

High Energy Physics - Theory · Physics 2016-08-16 Ian G. Moss , Wade Naylor , Wenceslao Santiago-Germán , Misao Sasaki

The idea we advocate in this paper is that the one-loop effective action of a free (massive) field theory coupled to external sources (via conserved currents) contains complete information about the classical dynamics of such sources. We…

High Energy Physics - Theory · Physics 2017-02-01 L. Bonora , M. Cvitan , P. Dominis Prester , S. Giaccari , B. Lima De Souza , T. Stemberga

We derive the quantum effective action up to second order in gradients and up to two-loop order for an interacting scalar field theory. This expansion of the effective action is useful to study problems in cosmological settings where…

High Energy Physics - Theory · Physics 2024-09-17 Sofia Canevarolo , Tomislav Prokopec

We calculate a one loop effective action of SU(2) QCD in the presence of the monopole background, and find a possible connection between the resulting QCD effective action and a generalized Skyrme-Faddeev action of the non-linear sigma…

High Energy Physics - Theory · Physics 2009-11-07 Y. M. Cho , H. W. Lee , D. G. Pak

In a previous paper, we presented solution to the Slavnov--Taylor identity for the QCD effective action, and argued that the action terms containing (anti)ghost fields are unique. These terms have the same form as those in the classical…

High Energy Physics - Phenomenology · Physics 2009-11-07 G. Cvetic , I. Kondrashuk , I. Schmidt

Recently in the framework of a two-loop order calculation for an effective field theory of scalar and vector fields interacting with the metric field we have shown that for the cosmological constant term which is fixed by the condition of…

High Energy Physics - Theory · Physics 2019-12-10 J. Gegelia , Ulf-G. Meißner

The study of effective potential for the scalar Lee-Wick pseudo-electrodynamics in one-loop is presented in this letter. The planar and non-local Lee-Wick pseudo-electrodynamics is so coupled to a complex scalar field sector in 1+2…

High Energy Physics - Theory · Physics 2025-08-26 M. J. Neves