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In this note, we show that the well-known leading low-temperature correction to the Heisenberg-Euler Lagrangian in a constant electromagnetic field arising at two loops can be efficiently extracted from its one-loop zero-temperature…

High Energy Physics - Theory · Physics 2026-04-17 Felix Karbstein

It is shown that the criticism (revised version) made in hep-th/0007108 (by Jentschura and Weniger) on hep-th/0006057 has no valid ground. Furthemore we emphasize that the concept of the electric-magnetic duality used in the analysis of QED…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. G. Pak

We derive a general relation between the background effective actions, which directly proves that the two formulations of the Einstein-Hilbert theory with background fields are equivalent at the quantum level. This basic result has been…

High Energy Physics - Theory · Physics 2026-01-13 F. T. Brandt , J. Frenkel , S. Martins-Filho , D. G. C. McKeon

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

We develop a general gauge invariant construction of the one-loop effective action for supersymmetric gauge field theories formulated in ${\cal N}=1/2$ superspace. Using manifestly covariant techniques (the background superfield method and…

High Energy Physics - Theory · Physics 2008-11-26 O. D. Azorkina , A. T. Banin , I. L. Buchbinder , N. G. Pletnev

Duality symmetric electromagnetic action a la Schwarz-Sen is shown to appear naturally in a chain of equivalent actions which interchange equations of motion with Bianchi identities. Full symmetry of the electromagnetic stress tensor is…

High Energy Physics - Theory · Physics 2009-10-31 Ruben L. Pakman

In recent work, Gies and Karbstein have discovered that the two-loop Euler-Heisenberg Lagrangians for scalar and spinor QED have non-vanishing reducible contributions in addition to the well-studied irreducible ones. This invalidates…

High Energy Physics - Theory · Physics 2018-09-26 James P. Edwards , Adolfo Huet , Christian Schubert

The effective actions of gauge bosons, fermions and scalars, which are obtained within the hard-loop approximation, are shown to have unique forms for a whole class of gauge theories including QED, scalar QED, super QED, pure Yang-Mills,…

High Energy Physics - Phenomenology · Physics 2015-06-23 Alina Czajka , Stanislaw Mrowczynski

We consider the renormalization group equations within the Standard Model Effective Field Theory and compute two-loop contributions proportional to the top quark Yukawa coupling for the operator generating an effective Higgs-gluon coupling,…

High Energy Physics - Phenomenology · Physics 2025-11-13 Stefano Di Noi , Ramona Gröber , Manoj K. Mandal

All positive helicity four-point gluon-graviton amplitudes in Einstein-Yang-Mills theory coupled to a dilaton and axion field are computed at the leading one-loop order using colour-kinematics duality. In particular, all relevant…

High Energy Physics - Theory · Physics 2019-02-20 Josua Faller , Jan Plefka

Quantum photon effects in vacuum provide an interesting setting to test quantum electrodynamics, serving as a source for predictions about physics beyond the Standard Model. In this paper, we investigate these effects by calculating the…

High Energy Physics - Theory · Physics 2026-02-27 L. C. T. Brito , J. C. C. Felipe , A. C. Lehum , J. R. Nascimento , A. Yu. Petrov

We discuss applications of the proper-time method in various minimal Lorentz violating modifications of QED and present new results obtained with its use. Explicitly. we calculate the complete one-loop Heisenberg-Euler effective action…

High Energy Physics - Theory · Physics 2023-02-17 A. F. Ferrari , J. Furtado , J. F. Assunção , T. Mariz , A. Yu. Petrov

We consider the compactification on a circle of the Heterotic Superstring effective action to first order in the Regge slope parameter $\alpha'$ and re-derive the $\alpha'$-corrected Buscher rules first found in arXiv:hep-th/9506156 ,…

High Energy Physics - Theory · Physics 2021-09-08 Zachary Elgood , Tomas Ortin

For D=4 theories of a single U(1) gauge field strength coupled to gravity and matters, we show that the electric-magnetic duality can be formulated as an invariance of the actions. The symmetry is associated with duality rotation acting…

High Energy Physics - Theory · Physics 2009-10-31 Yuji Igarashi , Katsumi Itoh , Kiyoshi Kamimura

The full low energy effective action of N=4 SYM is believed to be self-dual. Starting with the first two leading terms in a momentum expansion of this effective action, we perform a duality transformation and find the conditions for…

High Energy Physics - Theory · Physics 2009-10-31 F. Gonzalez-Rey , B. Kulik , I. Y. Park , M. Rocek

We have obtained nonperturbative one-loop expressions for the mean energy-momentum tensor and current density of Dirac's field on a constant electric-like background. One of the goals of this calculation is to give a consistent description…

High Energy Physics - Theory · Physics 2012-07-03 S. P. Gavrilov , D. M. Gitman

We present a method for the integrand-level reduction of two-loop helicity amplitudes in both $d=4-2\epsilon$ and $d=4$ dimensions. The amplitude is expressed in terms of a set of Feynman integrals and their coefficients that depend on the…

High Energy Physics - Phenomenology · Physics 2025-11-14 Giuseppe Bevilacqua , Dhimiter Canko , Costas Papadopoulos , Aris Spourdalakis

We study some aspects of low-energy effective actions in 4-d superconformal gauge theories on the Coulomb branch. We describe superconformal invariants constructed in terms of N=2 abelian vector multiplet which play the role of building…

High Energy Physics - Theory · Physics 2009-09-17 I. L. Buchbinder , S. M. Kuzenko , A. A. Tseytlin

We derive the low energy effective action of the STU-model in four and five dimensions near the line T=U, where SU(2) gauge symmetry enhancement occurs. By `integrating in' the light W^{\pm} bosons together with their superpartners, the…

High Energy Physics - Theory · Physics 2009-11-10 Marco Zagermann

We observe that the Hamiltonian H = D^2, where D is the flat 4d Dirac operator in a self-dual gauge background, is supersymmetric, admitting 4 different real supercharges. A generalization of this model to the motion on a curved conformally…

High Energy Physics - Theory · Physics 2010-05-25 Maxim Konyushikhin , Andrei V. Smilga