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Related papers: One-loop background calculations in the general fi…

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We discuss a simple procedure for computing one-loop quantum energies of any static field configuration that depends non-trivially on only a single spatial coordinate. We specifically focus on domain wall-type field configurations that…

High Energy Physics - Theory · Physics 2009-10-31 Andrei Parnachev , Laurence G. Yaffe

Effective Field Theory calculations used in countless phenomenological analyses employ dimensional regularization, and at intermediate stages of computations, the operator bases extend beyond the four-dimensional ones. The extra pieces --…

High Energy Physics - Phenomenology · Physics 2023-02-09 Javier Fuentes-Martín , Matthias König , Julie Pagès , Anders Eller Thomsen , Felix Wilsch

The in-out formalism is a systematic and powerful method for finding the effective actions in an electromagnetic field and a curved spacetime provided that the field equation has explicitly known solutions. The effective action becomes…

High Energy Physics - Theory · Physics 2017-04-05 Sang Pyo Kim

We formulate a generic three-dimensional higher-derivative superfield theory for self-interacting scalar superfield action. We consider the cases of real and complex scalar superfields. For these theories, we explicitly calculate the…

High Energy Physics - Theory · Physics 2013-09-30 F. S. Gama , J. R. Nascimento , A. Yu. Petrov

We propose an approach for calculating one-loop effective actions and vacuum energies in quantum field theory. Spectral functions are functions defined by the eigenvalues of an operator. One-loop effective actions and vacuum energies in…

High Energy Physics - Theory · Physics 2025-03-26 Yuan-Yuan Liu , Shi-Lin Li , Yu-Jie Chen , Wen-Du Li , Wu-Sheng Dai

It has been shown that the negative norm states necessarily appear in a covariant quantization of the free minimally coupled scalar field in de Sitter space [1,2]. In this process ultraviolet and infrared divergences have been automatically…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mohammad Vahid Takook

We consider, in the harmonic superspace approach, the six-dimensional N=(1,0) supersymmetric model of abelian gauge multiplet coupled to a hypermultiplet. The superficial degree of divergence is evaluated and the structure of possible…

High Energy Physics - Theory · Physics 2016-12-21 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

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

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

We give a review of the one-loop divergences in higher derivative gravity theories. We first make the bilinear expansion in the quantum fluctuation on arbitrary backgrounds, introduce a higher-derivative gauge fixing and show that…

High Energy Physics - Theory · Physics 2023-09-26 Nobuyoshi Ohta

Following a review of the dual description of the non-linear sigma model we investigate the one-loop quadratic divergences. We use the covariant background field method for the general case and apply the results to the important example of…

High Energy Physics - Theory · Physics 2007-05-23 R. D. Simmons

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 revise the calculation of the one-loop effective action for scalar and spinor fields coupled to the dilaton in two dimensions. Applying the method of covariant perturbation theory for the heat kernel we derive the effective action in an…

High Energy Physics - Theory · Physics 2016-09-06 Yu. V. Gusev , A. I. Zelnikov

We present the one-loop effective action of a quantum scalar field with DSR1 space-time symmetry as a sum over field modes. The effective action has real and imaginary parts and manifest charge conjugation asymmetry, which provides an…

High Energy Physics - Theory · Physics 2009-11-11 M V Cougo-Pinto , C Farina , F S S Rosa , J F M Mendes

The structure of one-loop divergences of two-dimensional dilaton-Maxwell quantum gravity is investigated in two formalisms: one using a convenient effective action and the other a unique effective action. The one-loop divergences (including…

High Energy Physics - Theory · Physics 2010-05-07 E. Elizalde , S. Naftulin , S. D. Odintsov

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 derive a systematic treatment of one-loop effective potentials for interacting scalar fields in curved spacetimes, providing a general formula valid in arbitrary geometries and explicit results for de Sitter and anti-de Sitter…

High Energy Physics - Theory · Physics 2026-03-03 Alfio Bonanno , Sergio Luigi Cacciatori , Ugo Moschella

We exhibit the one-loop multi-gluon effective Lagrangian in any dimension for a field theory with a quasilocal background, using the background-field formalism. Specific results, including counter terms (up to 12 spacetime dimensions), have…

High Energy Physics - Theory · Physics 2008-11-26 E Rodulfo , R Delbourgo

We consider, in more details than it was done previously, the effective low-energy behavior in the quantum theory of a light scalar field coupled to another scalar with much larger mass. The main target of our work is an IR decoupling of…

High Energy Physics - Theory · Physics 2019-10-29 Tiago G. Ribeiro , Ilya L. Shapiro

It is known that Vilkovisky-DeWitt's effective action is gauge invariant off-shell and independent of quantum field parametrization. In this work, we perform the calculation of the divergences in two-loop Vilkovisky-DeWitt's effective…

High Energy Physics - Theory · Physics 2023-04-20 Ketankumar Jadav , Sukanta Panda , Abbas Altafhussain Tinwala