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We compute new exact analytic expressions for one-loop scalar effective actions in Kerr (A)dS black hole (BH) backgrounds in four and five dimensions. These are computed by the connection coefficients of the Heun equation via a…

High Energy Physics - Theory · Physics 2025-01-14 Paolo Arnaudo , Giulio Bonelli , Alessandro Tanzini

The 1--loop effective Lagrangian for a massive scalar field on an arbitrary causality violating spacetime is calculated using the methods of Euclidean quantum field theory in curved spacetime. Fields of spin 1/2, spin 1 and twisted field…

General Relativity and Quantum Cosmology · Physics 2009-10-30 M. J. Cassidy

In this paper, we provide an approach for the calculation of one-loop effective actions, vacuum energies, and spectral counting functions and discuss the application of this approach in some physical problems. Concretely, we construct the…

High Energy Physics - Theory · Physics 2014-11-21 Wu-Sheng Dai , Mi Xie

We discuss the calculation of one-loop effective actions in Lorentzian spacetimes, based on a very simple application of the method of steepest descent to the integral over the field. We show that for static spacetimes this procedure agrees…

General Relativity and Quantum Cosmology · Physics 2019-01-08 Alessio Baldazzi , Roberto Percacci , Vedran Skrinjar

We investigate some issues regarding quantum corrections for de Sitter branes in a bulk AdS(5) spacetime. The one-loop effective action for a Majorana spinor field is evaluated and compared with the scalar field result. We also evaluate the…

High Energy Physics - Theory · Physics 2016-08-16 Ian G. Moss , Wade Naylor , Wenceslao Santiago-Germán , Misao Sasaki

We review recent discussions concerning the definition of a quantum field theory in a curved and noncommutative space, the Snyder--de Sitter space. For a quartic self-interacting scalar field in a spacetime of arbitrary dimension, we show…

High Energy Physics - Theory · Physics 2024-05-16 S. A. Franchino-Viñas , S. Mignemi

A method is presented for the computation of the one-loop effective action at finite temperature and density. The method is based on an expansion in the number of spatial covariant derivatives. It applies to general background field…

High Energy Physics - Theory · Physics 2016-08-15 C. García-Recio , L. L. Salcedo

We propose a Heat-Kernel-based method to compute one-loop effective action up to any mass-dimension with arbitrary numbers of non-degenerate scalars and fermions. We demonstrate our prescription by computing the dimension six effective…

High Energy Physics - Phenomenology · Physics 2023-11-22 Upalaparna Banerjee , Joydeep Chakrabortty , Shakeel Ur Rahaman , Kaanapuli Ramkumar

In this work we consider the one-loop effective action of a self-interacting $\lambda\phi^{4}$ field propagating in a $D$ dimensional Euclidean space endowed with $d\leq D$ compact dimensions. The main purpose of this paper is to compute…

High Energy Physics - Theory · Physics 2018-03-13 Guglielmo Fucci , Klaus Kirsten

We have studied the induced one-loop energy-momentum tensor of a massive complex scalar field within the framework of nonperturbative quantum electrodynamics (QED) with a uniform electric field background on the Poincar\'e patch of the…

High Energy Physics - Theory · Physics 2021-05-26 Marzieh Akbari Ahmadmahmoudi , Ehsan Bavarsad

Quantum photon effects in vacuum provide an interesting setting to test quantum electrodynamics, serving as a source for predictions about physics beyond the Standard Model. In this paper, we investigate these effects by calculating the…

High Energy Physics - Theory · Physics 2026-02-27 L. C. T. Brito , J. C. C. Felipe , A. C. Lehum , J. R. Nascimento , A. Yu. Petrov

We consider the four-dimensional action of spinors minimally coupled to a $U(1)$-gauge field in an Riemann-Cartan background. In this theory, we integrate over the spinors and study the resulting one-loop gauge-gravity effective action,…

High Energy Physics - Theory · Physics 2025-10-23 J. R. Nascimento , M. Paganelly , A. Yu. Petrov , P. Porfirio

We employ the covariant background formalism to derive generic expressions for the one-loop effective action in field theoretic orbifold compactifications. The contribution of each orbifold sector is given by the effective action of its…

High Energy Physics - Theory · Physics 2014-11-18 Gero von Gersdorff

In the $\mathcal{N}=1$, $d=3$ superspace, we propose a massive superfield theory formulated in terms of a spinor gauge superfield, whose component content includes a two-form field, and a real scalar matter superfield. For this model, we…

High Energy Physics - Theory · Physics 2019-07-11 F. S. Gama , J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio

We investigate the effective action of the Polyakov loop with spatial variations. We expand the effective action not in powers of derivatives or momenta, but in powers of variational amplitudes. At one-loop order the results suggest that…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kenji Fukushima , Koichi Ohta

We emphasize the close relationship between zeta function methods and arbitrary spectral cutoff regularizations in curved spacetime. This yields, on the one hand, a physically sound and mathematically rigorous justification of the standard…

High Energy Physics - Theory · Physics 2015-06-16 Adel Bilal , Frank Ferrari

We study the Heisenberg-Euler effective action in constant electromagnetic fields $\bar{F}$ for QED with $N$ charged particle flavors of the same mass and charge $e$ in the large $N$ limit characterized by sending $N\to\infty$ while keeping…

High Energy Physics - Theory · Physics 2024-02-26 Felix Karbstein

We show that in arbitrary even dimension, the two-loop scalar QED Heisenberg-Euler effective action can be reduced to simple one-loop quantities, using just algebraic manipulations, when the constant background field satisfies F^2 = -f^2 I,…

High Energy Physics - Theory · Physics 2009-02-11 Marek Krasnansky

It is argued that the one-loop effective action for a space-like noncommutative scalar field theory does not exist. This indicates that such theories are not renormalizable already at one loop order and suggests supersymmetrization and…

High Energy Physics - Theory · Physics 2008-11-26 V. Gayral , J. M. Gracia-Bondia , F. Ruiz Ruiz

In this paper the connection between standard perturbation theory techniques and the new Bern-Kosower calculational rules for gauge theory is clarified. For one-loop effective actions of scalars, Dirac spinors, and vector bosons in a…

High Energy Physics - Phenomenology · Physics 2009-07-09 Matthew J. Strassler