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We discuss peculiarities of the Schwinger--DeWitt technique for quantum effective action, associated with the origin of dimensionally regularized double-pole divergences of the one-loop functional determinant for massive Proca model in a…

High Energy Physics - Theory · Physics 2026-02-03 Andrei O. Barvinsky , Alexey E. Kalugin

The local momentum space method is used to study the quantized massive vector field (the Proca field) with the possible addition of non-minimal terms. Heat kernel coefficients are calculated and used to evaluate the divergent part of the…

High Energy Physics - Theory · Physics 2015-09-22 David J. Toms

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

In this paper, we consider a Carroll magnetic limit of a one-loop scalar effective action. We work on general static backgrounds and compute both divergent and finite parts of the effective action in this limit. We show, that the divergent…

High Energy Physics - Theory · Physics 2025-02-18 Dmitri Vassilevich

Functional methods can be applied to the quantum effective action to efficiently determine counterterms and matching conditions for effective field theories. We extend the toolbox to two-loop order and beyond and show how to evaluate the…

High Energy Physics - Phenomenology · Physics 2025-08-20 Javier Fuentes-Martín , Adrián Moreno-Sánchez , Ajdin Palavrić , Anders Eller Thomsen

We suggest a new method for the calculation of the nonlocal part of the effective action. It is based on resummation of perturbation series for the heat kernel and its functional trace at large values of the proper time parameter. We derive…

High Energy Physics - Theory · Physics 2009-11-07 A. O. Barvinsky , V. F. Mukhanov

We study the one loop effective action for a class of higher spin fields by using a first-quantized description. The latter is obtained by considering spinning particles, characterized by an extended local supersymmetry on the worldline,…

High Energy Physics - Theory · Physics 2015-04-10 Fiorenzo Bastianelli , Roberto Bonezzi , Olindo Corradini , Emanuele Latini

The two-loop Euler-Heisenberg-type effective action for N = 1 supersymmetric QED is computed within the background field approach. The background vector multiplet is chosen to obey the constraints D_\a W_\b = D_{(\a} W_{\b)} = const, but is…

High Energy Physics - Theory · Physics 2010-10-27 Sergei M. Kuzenko , Simon J. Tyler

Considerable work has been done on the one-loop effective action in combined electromagnetic and gravitational fields, particularly as a tool for determining the properties of light propagation in curved space. After a short review of…

General Relativity and Quantum Cosmology · Physics 2009-04-24 Fiorenzo Bastianelli , Jose Manuel Davila , Christian Schubert

We apply the heat kernel method (using Avramidi's non-recursive technique) to the study of the effective action of chiral matter in a complex representation of an arbitrary gauge sector coupled to background U(1) supergravity. This…

High Energy Physics - Theory · Physics 2009-12-02 Daniel Butter

We study one-loop effective action of hypermultiplet theory coupled to external N=2 vector multiplet. We formulate this theory in N=1 superspace and develop a general approach to constructing derivative expansion of the effective action…

High Energy Physics - Theory · Physics 2009-10-31 A. T. Banin , I. L. Buchbinder , N. G. Pletnev

Using a covariant background field method we calculate the one-loop quantum effective action for a particle with coordinate-dependent mass moving slowly through a one-dimensional configuration space. The procedure can easily be extended to…

Quantum Physics · Physics 2015-06-26 H. Kleinert , A. Chervyakov

We study the one-loop effective action for a generic two-dimensional dilaton gravity theory conformally coupled to $N$ matter fields. We obtain an explicit expression for the effective action in the weak-coupling limit under a suitable…

High Energy Physics - Theory · Physics 2009-01-16 A. Mikovic , V. Radovanovic

We consider the one-loop effective action due to a spinor loop coupled to an abelian vector and axial vector field background. After rewriting this effective action in terms of an auxiliary non-abelian gauge connection, we use the De Witt…

High Energy Physics - Theory · Physics 2009-10-31 D. G. C. McKeon , C. Schubert

Using the generalized Schwinger-DeWitt technique, we calculate the divergent part of the one-loop effective action for gravity non-minimally coupled to a multiplet of scalar fields. All the calculations are consistently done in the Jordan…

General Relativity and Quantum Cosmology · Physics 2011-08-08 Christian F. Steinwachs , Alexander Yu. Kamenshchik

The heat kernel in curved space-time is computed to fourth order in a strict expansion in the number of covariant derivatives. The computation is made for arbitrary non abelian gauge and scalar fields and for the Riemann connection in the…

High Energy Physics - Theory · Physics 2008-11-26 L. L. Salcedo

The main results are: 1. A manifestly covariant technique for the calculation of De Witt coefficients is elaborated; 2. The coefficients $a_3$ and $a_4$ are calculated; 3. Covariant methods for the study of the nonlocal structure of the…

High Energy Physics - Theory · Physics 2008-02-03 Ivan G. Avramidi

We obtain the one-loop quantum corrections to the K\"ahlerian and superpotentials in the generic chiral superfield model on the nonanticommutative superspace. Unlike all previous works, we use a method which does not require to rewrite a…

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

In this paper we explicitly evaluate the one-loop effective action in four dimensions for scalar and spinor fields under the influence of a strong, covariantly constant, magnetic field in curved spacetime. In the framework of zeta function…

High Energy Physics - Theory · Physics 2009-10-02 Guglielmo Fucci

We continue the development of the effective covariant methods for calculating the heat kernel and the one-loop effective action in quantum field theory and quantum gravity. The status of the low-energy approximation in quantum gauge…

General Relativity and Quantum Cosmology · Physics 2007-05-23 I. G. Avramidi