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We extend Schwinger's proper-time formalism to provide a method for computing the one-loop effective action for both spinor and scalar quantum electrodynamics in $d=2n>4$ dimensions. The closed form expression for the six-dimensional…

High Energy Physics - Theory · Physics 2026-04-16 Terry Hatzis , Sergei M. Kuzenko

We compute the two-loop effective K\"ahler potential in three-dimensional N=2 supersymmetric electrodynamics with Chern-Simons kinetic term for the gauge superfield. The effective action is constructed on the base of background field method…

High Energy Physics - Theory · Physics 2015-06-04 I. L. Buchbinder , B. S. Merzlikin

We compute new exact analytic expressions for one-loop scalar effective actions in Kerr (A)dS black hole (BH) backgrounds in four and five dimensions. These are computed by the connection coefficients of the Heun equation via a…

High Energy Physics - Theory · Physics 2025-01-14 Paolo Arnaudo , Giulio Bonelli , Alessandro Tanzini

The specific form of the constant term in the asymptotic expansion of the heat-kernel on an axially-symmetric space with a codimension two fixed-point set of conical singularities is used to determine the associated conformal change of the…

High Energy Physics - Theory · Physics 2011-07-19 J. S. Dowker

We study the one-loop effective action of certain classical type IIA string configurations in $AdS_4\times \mathbb{CP}^3$. These configurations are dual to Wilson loops in the $\mathcal{N}= 6\:$ $U(N)_k \times U(N)_{-k}$ Chern-Simons theory…

High Energy Physics - Theory · Physics 2018-08-29 Jeremías Aguilera-Damia , Alberto Faraggi , Leopoldo A. Pando Zayas , Vimal Rathee , Guillermo A. Silva

In this paper, the \lambda\phi^4 scalar feld effective action, in the one-loop approximation, is calculated by using the Krein space quantization. We show that the effective action is naturally fnite and the singularity does not appear in…

General Relativity and Quantum Cosmology · Physics 2011-09-14 A. Refaei , M V. Takook

We derive the fermionic contribution to the 1-loop effective action for A_4 and A_i fields at high temperatures, assuming that gluon fields are slowly varying but allowing for an arbitrary amplitude of A_4.

High Energy Physics - Phenomenology · Physics 2009-11-10 Dmitri Diakonov , Michaela Oswald

We study the heat kernel for the Laplace type partial differential operator acting on smooth sections of a complex spin-tensor bundle over a generic $n$-dimensional Riemannian manifold. Assuming that the curvature of the U(1) connection…

High Energy Physics - Theory · Physics 2009-10-05 Ivan G. Avramidi , Guglielmo Fucci

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 action for chiral spinor multiplets coupled to vector and scalar multiplets. We give the component form of the action, which contains gauge invariant mass terms for the antisymmetric tensors in the spinor superfield and…

High Energy Physics - Theory · Physics 2008-11-26 Jan Louis , Jacek Swiebodzinski

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

In the context of scalar quantum field theory we introduce a class of generically nonlinear quantum-background splits for which the splitting Ward identity, encoding the single field dependence in the effective action, can be solved…

High Energy Physics - Theory · Physics 2017-10-11 Mahmoud Safari , Gian Paolo Vacca

We construct the covariant effective field theory of gravity as an expansion in inverse powers of the Planck mass, identifying the leading and next-to-leading quantum corrections. We determine the form of the effective action for the cases…

General Relativity and Quantum Cosmology · Physics 2016-11-08 Alessandro Codello , Rajeev Kumar Jain

The one-loop effective action for a massive self-interacting scalar field is investigated in $4$-dimensional ultrastatic space-time $ R \times H^3/\Gamma$, $H^3/\Gamma$ being a non-compact hyperbolic manifold with finite volume. Making use…

High Energy Physics - Theory · Physics 2009-10-30 A. A. Bytsenko , Guido Cognola , Sergio Zerbini

The class of effective actions exactly reproducing the conformal anomaly in 4D is considered. It is demonstrated that the freedom within this class can be fixed by the choice of the conformal gauge. The conformal invariant part of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. O. Barvinsky , A. G. Mirzabekian , V. V. Zhytnikov

We apply heat kernel techniques in N=1 superspace to compute the one-loop effective action to order $F^5$ for chiral superfields coupled to a non-Abelian super Yang-Mills background. The results, when combined with those of hep-th/0210146,…

High Energy Physics - Theory · Physics 2010-02-03 Darren T. Grasso

We compute the effective actions for the 0+1 dimensional scalar field interacting with an Abelian gauge background, as well as for its supersymmetric generalization at finite temperature.

High Energy Physics - Theory · Physics 2016-08-25 J. Barcelos-Neto , Ashok Das

The structure of one-loop divergences of two-dimensional dilaton-Maxwell quantum gravity is investigated in two formalisms: one using a convenient effective action and the other a unique effective action. The one-loop divergences (including…

High Energy Physics - Theory · Physics 2010-05-07 E. Elizalde , S. Naftulin , S. D. Odintsov

We provide a new and completely general formalism to compute the effective field theory matching contributions from integrating out massive fields in a manifestly gauge covariant way, at any desired loop order. The formalism is based on old…

High Energy Physics - Phenomenology · Physics 2023-04-28 Gero von Gersdorff , Kevin Santos

This is a more detailed version of our recent paper where we proposed, from first principles, a direct method for evaluating the exact fermion propagator in the presence of a general background field at finite temperature. This can, in…

High Energy Physics - Theory · Physics 2010-03-12 Ashok Das , J. Frenkel
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