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Related papers: The Fermionic Universal One-Loop Effective Action

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Motivated by the seminal work of Schwinger, we obtain explicit closed form expressions for the one-loop effective action in a constant electromagnetic field. We discuss both massive and massless charged scalars and spinors in two, three,…

High Energy Physics - Theory · Physics 2011-11-10 Steven K. Blau , Matt Visser , Andreas Wipf

We consider the one-loop renormalization of a real scalar field interacting with a Dirac spinor field in curved spacetime. A general Yukawa interaction is considered which includes both a scalar and a pseudoscalar coupling. The scalar field…

High Energy Physics - Theory · Physics 2018-07-04 David J. Toms

Unitary matrix integrals over symmetric polynomials play an important role in a wide variety of applications, including random matrix theory, gauge theory, number theory, and enumerative combinatorics. We derive novel results on such…

Statistical Mechanics · Physics 2023-03-09 Ward L. Vleeshouwers , Vladimir Gritsev

We consider macroscopic motion of quantum field systems. Zubarev statistical operator allows to describe several types of motion of such systems in thermal equilibrium. We formulate the corresponding effective theory on the language of…

High Energy Physics - Phenomenology · Physics 2025-08-01 M. Selch , R. A. Abramchuk , M. A. Zubkov

We describe an algebraic algorithm which allows to express every one-loop lattice integral with gluon or Wilson-fermion propagators in terms of a small number of basic constants which can be computed with arbitrary high precision. Although…

High Energy Physics - Lattice · Physics 2009-10-28 Giuseppe Burgio , Sergio Caracciolo , Andrea Pelissetto

A compact general integral formula is derived from which the fermionic contribution to the one-loop coefficient in the perturbative expansion of the MSbar coupling in powers of the bare lattice coupling can be extracted. It is seen to…

High Energy Physics - Lattice · Physics 2008-11-26 David H. Adams

We develop a universal approach to the one-loop effective field theory (EFT) using the Covariant Derivative Expansion (CDE) method. We generalise previous results to include broader classes of UV models, showing how expressions previously…

High Energy Physics - Phenomenology · Physics 2016-02-11 Aleksandra Drozd , John Ellis , Jérémie Quevillon , Tevong You

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

The derivative expansion of the one-loop effective Lagrangian in QED$_4$ is considered. The first term in such an expansion is the famous Schwinger result for a constant electromagnetic field. In this paper we give an explicit expression…

High Energy Physics - Phenomenology · Physics 2015-06-25 V. P. Gusynin , I. A. Shovkovy

We apply the worldline formalism to the Grosse-Wulkenhaar model and obtain an expression for the one-loop effective action which provides an efficient way for computing Schwinger functions in this theory. Using this expression we obtain the…

High Energy Physics - Theory · Physics 2014-12-08 Sebastián Franchino Viñas , Pablo Pisani

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

I present a pedagogical review of Heisenberg-Euler effective Lagrangians, beginning with the original work of Heisenberg and Euler, and Weisskopf, for the one loop effective action of quantum electrodynamics in a constant electromagnetic…

High Energy Physics - Theory · Physics 2016-11-23 Gerald V. Dunne

We present a (1+1)-dimensional fermionic QFT with non-local couplings between currents. This model describes an ensemble of spinless fermions interacting through forward, backward and umklapp scattering processes. We express the vacuum to…

High Energy Physics - Theory · Physics 2011-04-15 V. I. Fernández , C. M. Naón

In the present work we set up a general functional renormalisation group framework for the computation of complex effective actions. For explicit computations we consider both flows of the Wilsonian effective action and the one-particle…

High Energy Physics - Theory · Physics 2023-08-30 Friederike Ihssen , Jan M. Pawlowski

We use a locally constant field approximation (LCFA) to study the one-loop Heisenberg-Euler effective action in a particular class of slowly varying inhomogeneous electric fields of Lorentzian shape with $0\leq d\leq 4$ inhomogeneous…

High Energy Physics - Phenomenology · Physics 2017-04-25 Felix Karbstein

Using techniques from hopping expansion we identically map the lattice Schwinger model with Wilson fermions to a model of oriented loops on the lattice. This is done by first computing the explicit form of the fermion determinant in the…

High Energy Physics - Lattice · Physics 2009-10-31 Christof Gattringer

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 string inspired worldline formalism to the calculation of the higher derivative expansion of one-loop effective actions in non-Abelian gauge theory. For this purpose, we have completely computerized the method, using the…

High Energy Physics - Theory · Physics 2009-10-30 D. Fliegner , P. Haberl , M. G. Schmidt , C. Schubert

For the first time, we present the model-independent two-loop effective action up to dimension six after integrating out heavy scalar(s) employing the Heat-Kernel method. We compute the effective operators that emerge at two-loop for two…

High Energy Physics - Phenomenology · Physics 2026-01-06 Nilabhra Adhikary , Jaydeb Das , Debmalya Dey

I give a pedagogical review of the derivation for the effective lagrangian for nonabelian Debye screening, or hard thermal loops. Following Kelly, Liu, Lucchesi, and Manuel, I give the simplest derivation possible, using classical kinetic…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert D. Pisarski