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Related papers: Non-Perturbative One-Loop Effective Action for QED…

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We develop the in-out formalism for one-loop effective actions in electromagnetic fields in the space-dependent gauge. We further advance a method using the inverse scattering matrix to calculate the effective actions in pure magnetic…

High Energy Physics - Theory · Physics 2011-07-22 Sang Pyo Kim

We use the evolution operator method to find the one-loop effective action of scalar and spinor QED in electric field backgrounds in terms of the Bogoliubov coefficient between the ingoing and the outgoing vacua. We obtain the exact…

High Energy Physics - Theory · Physics 2008-12-18 Sang Pyo Kim , Hyun Kyu Lee , Yongsung Yoon

We obtain, through zeta function methods, the one-loop effective action for massive Dirac fields in the presence of a uniform, but otherwise general, electromagnetic background. After discussing renormalization, we compare our zeta function…

High Energy Physics - Theory · Physics 2015-06-25 C. G. Beneventano , E. M. Santangelo

We consider a scalar field theory with quartic self interaction, Yukawa coupled to fermions in the inflationary de Sitter spacetime background. The scalar has a classical background plus quantum fluctuations, whereas the fermions are taken…

High Energy Physics - Theory · Physics 2025-10-31 Sourav Bhattacharya , Kinsuk Roy

We construct the world-line action for a Dirac particle coupled to a classical scalar or pseudo-scalar background field. This action can be used to compute loop diagrams and the effective action in the Yukawa model using the world-line…

High Energy Physics - Theory · Physics 2009-10-28 Myriam Mondragon , Lukas Nellen , Michael G. Schmidt , Christian Schubert

We examine the effect of one loop quantum corrections on the formation of nontopological solitons in a strongly coupled scalar-fermionic Yukawa theory. The exact one fermion loop contribution is incorporated by using a nonlocal method to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Iain W. Stewart , Peter G. Blunden

We explore the classical and quantum properties of a sterile scalar field coupled to $N$ copies of Dirac fermions in an external gravitational field. We find that the self-interaction scalar potential of a model that is consistent at the…

We construct a world-line representation for the fermionic one-loop effective action with axial and also vector, scalar, and pseudo-scalar couplings. We use this expression to compute a few selected scattering amplitudes. These allow us to…

High Energy Physics - Theory · Physics 2009-10-28 Myriam Mondragon , Lukas Nellen , Michael G. Schmidt , Christian Schubert

We revise the calculation of the one-loop effective action for scalar and spinor fields coupled to the dilaton in two dimensions. Applying the method of covariant perturbation theory for the heat kernel we derive the effective action in an…

High Energy Physics - Theory · Physics 2016-09-06 Yu. V. Gusev , A. I. Zelnikov

We develop integration-by-parts rules for Feynman diagrams involving massive scalar propagators in a constant background electromagnetic field, and use these to show that there is a simple diagrammatic interpretation of mass renormalization…

High Energy Physics - Theory · Physics 2008-11-26 Gerald V. Dunne , Marek Krasnansky

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

The equations for the QED effective action derived in \cite{fm} are considered using singular perturbation theory. The effective action is divided into regular and singular (in coupling constant) parts. It is shown that expression for the…

High Energy Physics - Theory · Physics 2019-09-04 Biruniy Fayzullaev

We present the universal one-loop effective action for all operators of dimension up to six obtained by integrating out massive, non-degenerate multiplets. Our general expression may be applied to loops of heavy fermions or bosons, and has…

High Energy Physics - Phenomenology · Physics 2016-04-20 Aleksandra Drozd , John Ellis , Jérémie Quevillon , Tevong You

Motivated by the study of quantum fields in a Friedman-Robertson-Walker (FRW) spacetime, the one-loop effective action for a scalar field defined in the ultrastatic manifold $R\times H^3/\Gamma$, $H^3/\Gamma$ being the finite volume,…

High Energy Physics - Theory · Physics 2009-11-10 Guido Cognola , Sergio Zerbini

Augmentations to the Euler-Heisenberg Lagrangian (QED one-loop effective action in homogeneous electromagnetic fields) under a constant background axial gauge are examined. Two special configurations admit an exact eigendecomposition, and…

High Energy Physics - Theory · Physics 2023-03-22 Patrick Copinger , Koichi Hattori , Di-Lun Yang

We calculate the effective potentials for scalar, Dirac and Yang-Mills fields in curved backgrounds using a new method for the determination of the heat kernel involving a re-summation of the Schwinger-DeWitt series. Self-interactions are…

High Energy Physics - Theory · Physics 2008-02-03 Frank Antonsen , Karsten Bormann

It is known that the one-loop effective action of ${QED}_2$ is a quadratic in the field strength when the fermion mass is zero: all potential higher order contributions beyond second order vanish. For nonzero fermion mass it is shown that…

High Energy Physics - Theory · Physics 2014-11-18 M. P. Fry

We derive an analytic expression for one-loop effective action of QCD+QED at zero and finite temperatures by using the Schwinger's proper time method. The result is a nonlinear effective action not only for electromagnetic and…

High Energy Physics - Phenomenology · Physics 2015-07-22 Sho Ozaki , Takashi Arai , Koichi Hattori , Kazunori Itakura

In this paper the connection between standard perturbation theory techniques and the new Bern-Kosower calculational rules for gauge theory is clarified. For one-loop effective actions of scalars, Dirac spinors, and vector bosons in a…

High Energy Physics - Phenomenology · Physics 2009-07-09 Matthew J. Strassler

Building upon the Covariant Derivative Expansion, we develop a method to compute effective actions that is able to capture non-perturbative effects induced by strong background fields. We demonstrate the method in scalar QED, by deriving…

High Energy Physics - Theory · Physics 2025-12-10 Sebastián Franchino-Viñas , Jérémie Quevillon , Diego Saviot