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By the appropriate use of the Fock-Schwinger gauge properties, we derive the closed integral form of the `point-split' non-local background gauge connection originally expressed as a finite sum. This is achieved in the limit when the finite…

High Energy Physics - Theory · Physics 2007-05-23 Emmanuel T. Rodulfo , Joseph Ambrose G. Pagaran

I present a pedagogical review of Heisenberg-Euler effective Lagrangians, beginning with the original work of Heisenberg and Euler, and Weisskopf, for the one loop effective action of quantum electrodynamics in a constant electromagnetic…

High Energy Physics - Theory · Physics 2016-11-23 Gerald V. Dunne

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

The explicit expressions for the one-loop non-perturbative corrections to the gravitational effective action induced by a scalar field on a stationary gravitational background are obtained both at zero and finite temperatures. The…

General Relativity and Quantum Cosmology · Physics 2014-09-09 I. S. Kalinichenko , P. O. Kazinski

We consider universal aspects of a holographic Schwinger effect in general backgrounds with an external homogeneous electric field. The argument is based on the potential analysis developed in our previous work. Under some conditions, there…

High Energy Physics - Theory · Physics 2015-06-17 Yoshiki Sato , Kentaroh Yoshida

In this work, we mainly study the one-loop effective action for real scalar theories in non-homogeneous backgrounds in odd dimensions. It is shown that through the method studied in Ref. [1], it is possible to obtain a unified result for…

High Energy Physics - Theory · Physics 2011-04-06 Burak Tevfik Kaynak

In this paper, we study a CPT-even Lorentz-breaking extension of the scalar QED. For this theory, we calculate the one-loop lower-order contributions in the Lorentz-violating parameters to the two-point functions of scalar and gauge fields.…

High Energy Physics - Theory · Physics 2022-07-07 A. P. Baêta Scarpelli , J. C. C. Felipe , L. C. T. Brito , A. Yu. Petrov

In the framework of QED with a strong background, we study particle creation (the Schwinger effect) by a time-dependent inverse square electric field. To this end corresponding exact in- and out-solutions of the Dirac and Klein-Gordon…

High Energy Physics - Theory · Physics 2019-01-08 T. C. Adorno , S. P. Gavrilov , D. M. Gitman

We study the decoupling effects in one-loop corrected N=1 supersymmetric theory with gauge neutral chiral superfields, by calculating the one-loop corrected effective Lagrangian that involves light and heavy fields with the mass scale M,…

High Energy Physics - Theory · Physics 2009-09-17 I. L. Buchbinder , M. Cvetic , A. Yu. Petrov

Recently, calculations which consider the implications of anomalous trilinear gauge-boson couplings, both at tree-level and in loop-induced processes, have been criticized on the grounds that the lagrangians employed are not \gwk gauge…

High Energy Physics - Phenomenology · Physics 2008-02-03 C. P. Burgess , David London

We study the three-loop Euler-Heisenberg Lagrangian in spinor quantum electrodynamics in 1+1 dimensions. In this first part we calculate the one-fermion-loop contribution, applying both standard Feynman diagrams and the worldline formalism…

High Energy Physics - Theory · Physics 2019-05-01 Idrish Huet , Michel Rausch de Traubenberg , Christian Schubert

We study the UV properties, and derive the explicit form of the one-loop effective action, for a noncommutative complex scalar field theory in 2+1 dimensions with a Grosse-Wulkenhaar term, at the self-dual point. We also consider quantum…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , G. A. Moreno

We compute the effective action of QED at one loop order for an electric field which points in the $\hat{z}$ direction and depends arbitrarily upon the light cone time coordinate, $x^+ = (x^0 + x^3)/\sqrt{2}$. This calculation generalizes…

High Energy Physics - Theory · Physics 2009-11-07 H. M. Fried , R. P. Woodard

We calculate the one-loop contributions to the effective potential for the minimal supersymmetric model when scalar fields other than the Higgses have vacuum expectation values. The importance of these contributions for studies of charge…

High Energy Physics - Phenomenology · Physics 2009-10-31 P. M. Ferreira

In this paper, we explore the perturbative renormalization and study the classical dynamics of the bumblebee model coupled to quadratic gravity, a theoretical setting that allows the violation of Lorentz symmetry. Such a violation arises…

High Energy Physics - Theory · Physics 2026-03-13 R. B. Alfaia , Willian Carvalho , A. C. Lehum , J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio

A simple formula for one-loop logarithmic divergences on the background of a two-dimensional curved space-time is derived for theories for which the second variation of the action is a nonminimal second order operator with small nonminimal…

High Energy Physics - Theory · Physics 2016-07-20 H. P. Popova , K. V. Stepanyantz

We calculate the one-loop effective potential of a self-interacting scalar field on the spacetime of the form $\reals^2\times H^2/\Gamma$. The Selberg trace formula associated with a co-compact discrete group $\Gamma$ in $PSL(2,\reals )$…

High Energy Physics - Theory · Physics 2009-09-17 Andrei Bytsenko , Klaus Kirsten , Sergei Odintsov

We compute the one-loop divergences in a theory of gravity with Lagrangian of the general form $f(R,R_{\mu\nu}R^{\mu\nu})$, on an Einstein background. We also establish that the one-loop effective action is invariant under a duality that…

High Energy Physics - Theory · Physics 2018-05-30 N. Ohta , R. Percacci , A. D. Pereira

We study the possible mixings between gauge vector fields and scalar fields through their self-energies, arising in models with two Higgs doublets. We derive the relevant set of Schwinger-Dyson equations and the Ward identities that compel…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michel Capdequi Peyranere

We have developed a method to study the effects of a perturbation to the motion of a test point--like object in a Schwarzschild spacetime. Such a method is the extension of the Lagrangian planetary equations of classical celestial mechanics…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Mirco Calura , Enrico Montanari , Pierluigi Fortini