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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

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

The conventional results for hard thermal loops, which are the building blocks of resummed perturbation theory in thermal field theories, have collinear singularities when external momenta are light-like. It is shown that by taking into…

High Energy Physics - Phenomenology · Physics 2009-10-28 Fritjof Flechsig , Anton K. Rebhan

We develop a superfield approach to the effective potential in the supersymmetric Chern-Simons theory coupled to matter, and, in Landau gauge, calculate the one-loop Kahlerian effective potential and give some qualitative prescriptions for…

High Energy Physics - Theory · Physics 2013-05-30 M. Gomes , A. C. Lehum , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

In an effort to further understand the structure of effective actions for fermions in an external gauge background at finite temperature, we study the example of 1+1 dimensional fermions interacting with an arbitrary Abelian gauge field. We…

High Energy Physics - Theory · Physics 2016-08-25 Ashok Das , A. J. da Silva

We shall develop a general technique to obtain the super heat kernel coefficients of an arbitrary second order operator in $N=1$ superspace. We focus on the space of conformal supergravity here but the method presented is equally applicable…

High Energy Physics - Theory · Physics 2019-09-25 Ka-Hei Leung

Functional methods and a derivative expansion are employed for laying out a procedure to compute the effective action to any loop order, for scalar fields parametrising an arbitrary Riemannian manifold, while maintaining explicit…

High Energy Physics - Theory · Physics 2024-10-08 Rodrigo Alonso , Mia West

The heat kernel for the spin-3/2 Rarita-Schwinger gauge field on an arbitrary Ricci flat space-time ($d>2$) is investigated in a family of covariant gauges with one gauge parameter $\alpha$. The $\alpha$-dependent term of the kernel is…

High Energy Physics - Theory · Physics 2010-04-06 Ryusuke Endo

We derive the two-loop effective action for covariantly constant field strength of pure Yang-Mills theory in the presence of an infrared scale. The computation is done in the framework of the worldline formalism, based on a generalization…

High Energy Physics - Theory · Physics 2011-06-24 Jan M. Pawlowski , Michael G. Schmidt , Jian-Hui Zhang

The divergent part of the one-loop off-shell effective action is computed for a single scalar field coupled to the Ricci curvature of 2D gravity ($c \phi R$), and self interacting by an arbitrary potential term $V(\phi)$. The…

High Energy Physics - Theory · Physics 2009-10-22 R. Kantowski , Caren Marzban

We calculate the effective action for a constant magnetic field and a time-dependent time-component of the gauge field in 2+1 dimensions at finite temperature. We also discuss the behaviour of the charge density and the fermion condensate…

High Energy Physics - Phenomenology · Physics 2009-10-31 Marcelo Hott , Georgios Metikas

At 2-loop order in the Coulomb gauge, individual Feynman graphs contributing to the effective action have energy divergences. It is proved that these cancel in suitable combinations of graphs. This has previously been shown only for…

High Energy Physics - Theory · Physics 2015-08-14 A. Andrasi , J. C. Taylor

An interesting class of background field configurations in QED are the O(2)xO(3) symmetric fields. Those backgrounds have some instanton-like properties and yield a one-loop effective action that is highly nontrivial but amenable to…

High Energy Physics - Theory · Physics 2015-06-12 N. Ahmadiniaz , A. Huet , A. Raya , C. Schubert

We clarify the structure of the four-dimensional low-energy effective action that encodes the conformal and $U(1)$ R-symmetry anomalies in an $\mathcal{N}=1$ supersymmetric field theory. The action depends on the dilaton, $\tau$, associated…

High Energy Physics - Theory · Physics 2015-06-18 Nikolay Bobev , Henriette Elvang , Timothy M. Olson

The method of the effective action for the composite operators $\Phi^2(x)$ and $\Phi^4(x)$ is applied to the termodynamics of the scalar quantum field with $\lambda\Phi^4$ interaction. An expansion of the finite temperature effective…

High Energy Physics - Theory · Physics 2015-06-26 Anna Okopińska

We compute the classical effective action of color charges moving along worldlines by integrating out the Yang-Mills gauge field to next-to-leading order in the coupling. An adapted version of the Bern-Carrasco-Johansson (BCJ) double-copy…

High Energy Physics - Theory · Physics 2019-01-17 Jan Plefka , Jan Steinhoff , Wadim Wormsbecher

In continuation of our earlier proposal for evaluating thermal effective actions, we determine the exact fermion propagator in 1+1 dimensional massive QED. This propagator is used to derive the finite temperature effective action of the…

High Energy Physics - Theory · Physics 2010-12-24 Ashok Das , J. Frenkel

Hard thermal loop effective actions furnish the building blocks of resummed thermal perturbation theory, which is expected to work as long as the quantities under consideration are not sensitive to the nonperturbative (chromo-)magnetostatic…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Rebhan

The one-loop effective action for a scalar field defined in the ultrastatic space-time where non standard logarithmic terms in the asymptotic heat-kernel expansion are present, is investigated by a generalisation of zeta-function…

High Energy Physics - Theory · Physics 2016-11-09 Guido Cognola , Sergio Zerbini

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