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For nonsupersymmetric theories, the one-loop effective action can be computed via zeta function regularization in terms of the functional trace of the heat kernel associated with the operator which appears in the quadratic part of the…

High Energy Physics - Theory · Physics 2009-10-30 I. N. McArthur , T. D. Gargett

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

The one-loop effective action of QED is calculated by the Schwinger method in Krein space quantization. We show that the effective action is naturally fnite and regularized. It also coincides with the renormalized solution which was derived…

General Relativity and Quantum Cosmology · Physics 2015-05-30 A. Refaei , M. V. Takook

We review the approach to calculation of one-loop effective action in ${\cal N}=2,4$ SYM theories. We compute the non-holomorphic corrections to low-energy effective action (higher derivative terms) in ${\cal N}=2$, SU(2) SYM theory coupled…

High Energy Physics - Theory · Physics 2009-12-30 A. T. Banin , I. L. Buchbinder , N. G. Pletnev

We derive a general formula for two-loop counterterms in Effective Field Theories (EFTs) using a geometric approach. This formula allows the two-loop results of our previous paper to be applied to a wide range of theories. The two-loop…

High Energy Physics - Phenomenology · Physics 2023-11-13 Elizabeth E. Jenkins , Aneesh V. Manohar , Luca Naterop , Julie Pagès

Building on the covariant supergraph techniques in 4D N = 2 harmonic superspace, we develop a manifestly 5D N = 1 supersymmetric and gauge covariant formalism to compute the one-loop effective action for a hypermultiplet coupled to a…

High Energy Physics - Theory · Physics 2008-11-26 Sergei M. Kuzenko

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

We discuss how the background geometry can be traced from the one-loop effective actions in nonsupersymmetric theories in the external abelian fields. It is shown that upon the proper identification of the Schwinger parameter the…

High Energy Physics - Theory · Physics 2009-11-10 A. Gorsky , V. Lysov

We study the effective interactions of external electromagnetic fields induced by fluctuations of virtual particles in the vacuum of quantum electrodynamics. Our main focus is on these interactions at two-loop order. We discuss in detail…

High Energy Physics - Theory · Physics 2022-06-02 Holger Gies , Felix Karbstein

Polyakov's calculation of the effective action for the 2d nonlinear sigma-Model is generalized by purely analytic means to include contributions which are not UV-divergent and which depend on the choice of block spin. An analytic…

High Energy Physics - Lattice · Physics 2009-10-31 M. Bartels , G. Mack , G. Palma

Recently we have obtained a non-perturbative but convergent series expression of the one loop effective action of QED, and discussed the renormalization of the effective action. In this paper we establish the electric-magnetic duality in…

High Energy Physics - Theory · Physics 2009-10-31 W. S. Bae , Y. M. Cho , D. G. Pak

A superfield method of computing the effective potential in supersymmetric field theories is suggested. Analysis of the structure of the effective potential in the Wess-Zumino model is carried out. It is shown that the superfield effective…

High Energy Physics - Theory · Physics 2007-05-23 I. L. Buchbinder , S. M. Kuzenko , A. Yu. Petrov , J. V. Yarevskaya

We study two-loop quantum corrections to the low-energy effective actions in N=(2,2) and N=(4,4) SQED in the Coulomb branch. In the latter model, the low-energy effective action is described by a generalized Kahler potential which depends…

High Energy Physics - Theory · Physics 2017-09-13 I. B. Samsonov

We derive the one-loop effective action for scalar, pseudoscalar, and electromagnetic fields coupled to a Dirac fermion in an extension of QED with Yukawa couplings. Using the Schwinger proper-time formalism and zeta-function…

High Energy Physics - Theory · Physics 2018-09-20 Theodore N. Jacobson , Tonnis ter Veldhuis

We present, in the N=2, D=4 harmonic superspace formalism, a general method for constructing the off-shell effective action of an N=2 abelian gauge superfield coupled to matter hypermultiplets. Using manifestly N=2 supersymmetric harmonic…

High Energy Physics - Theory · Physics 2009-10-30 I. L. Buchbinder , E. I. Buchbinder , E. A. Ivanov , S. M. Kuzenko , B. A. Ovrut

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 compute the $1$-loop effective K\"ahler potential in the most general renormalizable $N=1$ $d=4$ supersymmetric quantum field theory.

High Energy Physics - Theory · Physics 2019-08-15 M. T. Grisaru , M. Rocek , R. von Unge

Using the in-out formalism, we derive the exact one-loop QED effective actions for spinor field in a uniform electric field in two-dimensional global (anti-)de Sitter (A)dS$_2$ spacetime. The one-loop effective action probed by a scalar or…

High Energy Physics - Theory · Physics 2026-03-09 Chiang-Mei Chen , Sang Pyo Kim , Cristian Andres Rivera Medina

The full one-loop supersymmetric effective potential for the Wess-Zumino model is calculated using superfield techniques. This includes the K\"ahler potential and the auxiliary field potential, of which the former was originally computed in…

High Energy Physics - Theory · Physics 2015-06-22 Sergei M Kuzenko , Simon J Tyler

We derive a universal formula for the one-loop renormalization of the effective K\"ahler potential that applies to general supersymmetric effective field theories of chiral multiplets, with arbitrary interactions respecting N=1…

High Energy Physics - Theory · Physics 2012-05-17 Raphael Flauger , Simeon Hellerman , Cornelius Schmidt-Colinet , Matthew Sudano