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We consider a general two-dimensional gravity model minimally or nonminimally coupled to a scalar field. The canonical form of the model is elucidated, and a general solution of the equations of motion in the massless case is reviewed. In…

General Relativity and Quantum Cosmology · Physics 2009-11-07 M. O. Katanaev

We study the strong-field limit of a theory involving a quantum scalar field coupled to a vector background, which can be either an electromagnetic field or a non-gauge field coupled through the first derivative term. Our approach consists…

High Energy Physics - Theory · Physics 2025-12-09 S. A. Franchino-Viñas , C. García-Pérez , F. D. Mazzitelli , S. Pla , V. Vitagliano , U. Wainstein-Haimovichi

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

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

We study two-loop Euler-Heisenberg effective actions in three-dimensional N=2 and N=4 supersymmetric quantum electrodynamics (SQED) without Chern-Simons term. We find exact expressions for propagators of chiral superfields interacting with…

High Energy Physics - Theory · Physics 2015-06-16 I. L. Buchbinder , B. S. Merzlikin , I. B. Samsonov

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

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

We discuss, in conformally invariant field theories such as QCD with massless fermions, a possible link between the perturbative signature of the conformal anomaly, in the form of anomaly poles of the 1-particle irreducible effective…

High Energy Physics - Theory · Physics 2015-06-22 Luigi Delle Rose , Carlo Marzo , Mirko Serino

We present the universal one-loop effective action up to dimension eight after integrating out heavy fermion(s) using the Heat-Kernel method. We have discussed how the Dirac operator being a weak elliptic operator, the fermionic operator…

High Energy Physics - Phenomenology · Physics 2023-08-09 Joydeep Chakrabortty , Shakeel Ur Rahaman , Kaanapuli Ramkumar

We identify an unusual new gauge-gravity relation: the one-loop effective action for a massive spinor in 2n dimensional AdS space is expressed in terms of precisely the same function [a certain multiple gamma function] as the one-loop…

High Energy Physics - Theory · Physics 2010-04-23 Gokce Basar , Gerald V. Dunne

In this paper, we consider the evaluation of the effective action for photons coupled to charged scalar fields in the framework of a $(2+1)$-dimensional noncommutative spacetime. In order to determine the noncommutative Maxwell Lagrangian…

High Energy Physics - Theory · Physics 2020-01-08 M. Ghasemkhani , R. Bufalo , V. Rahmanpour , M. Alipour

We study the off-shell structure of the two-loop effective action in $6D, {\cal N}=(1,1)$ supersymmetric gauge theories formulated in ${\cal N}=(1,0)$ harmonic superspace. The off-shell effective action involving all fields of $6D, {\cal…

High Energy Physics - Theory · Physics 2023-05-31 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

The quantisation of scalar field theory and Einstein gravity is investigated using a fully covariant background field formalism, including Vilkovisky-DeWitt corrections. The one-loop divergences, which are relevant for the consistency of…

High Energy Physics - Theory · Physics 2014-09-17 Ian G. Moss

The gauge invariant method for calculation of the effective action of the local composite fields in QFT is proposed. The effective action of the local composite fields in QED is studied up to 2-loop level. The graph rules for the local…

High Energy Physics - Theory · Physics 2007-05-23 S. A. Garnov

We construct a worldline path integral for the effective action and propagator of a Dirac field in 2+1 dimensions in an Abelian gauge field background. Integrating over an auxiliary gauge group variable we derive a worldline action…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , J. Sanchez-Guillen , R. A. Vazquez

The effective action of a Higgs theory should be gauge-invariant. However, the quantum and/or thermal contributions to the effective potential seem to be gauge-dependent, posing a problem for its physical interpretation. In this paper, we…

High Energy Physics - Theory · Physics 2009-10-30 S. -H. Henry Tye , Yan Vtorov-Karevsky

Curvature expansion for the heat kernel trace and the one-loop effective action is built for the wave operator of the theory in the quasi-thermal setup of a nonvacuum quantum state. This setup implies a non-static and non-stationary…

High Energy Physics - Theory · Physics 2026-05-13 Andrei O. Barvinsky , Farahmand Hasanov , Nikita Kolganov

We present, from first principles, a direct method for evaluating the exact fermion propagator in the presence of a general background field at finite temperature, which can be used to determine the finite temperature effective action for…

High Energy Physics - Theory · Physics 2015-05-13 Ashok Das , J. Frenkel

We consider quantum p-form fields interacting with a background dilaton. We calculate the variation with respect to the dilaton of a difference of the effective actions in the models related by a duality transformation. We show that this…

High Energy Physics - Theory · Physics 2010-04-05 P. Gilkey , K. Kirsten , D. Vassilevich , A. Zelnikov

Graviton-dilaton background field equations in three space-time dimensions, following from the string effective action are solved when the metric has only time dependence. By taking one of the two space dimensions as compact, our solution…

High Energy Physics - Theory · Physics 2015-06-26 S. Pratik Khastgir , Alok Kumar