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Working within the familiar local potential approximation, and concentrating on the example of a single scalar field in three dimensions, we show that the commonly used approximation method of identifying the total and background fields,…

High Energy Physics - Theory · Physics 2014-03-21 I. Hamzaan Bridle , Juergen A. Dietz , Tim R. Morris

A gauge-invariant framework for computing bubble nucleation rates at finite temperature in the presence of radiative barriers was presented and advocated for model-building and phenomenological studies in an accompanying article…

High Energy Physics - Phenomenology · Physics 2022-08-10 Joonas Hirvonen , Johan Löfgren , Michael J. Ramsey-Musolf , Philipp Schicho , Tuomas V. I. Tenkanen

A method of constructing a canonical gauge invariant quantum formulation for a non-gauge classical theory depending on a set of parameters is advanced and then applied to the theory of closed bosonic string interacting with massive…

High Energy Physics - Theory · Physics 2009-10-30 I. L. Buchbinder , V. D. Pershin , G. B. Toder

Lattice gauge theory with a background gauge field is shown to be renormalizable to all orders of perturbation theory. No additional counterterms are required besides those already needed in the absence of the background field. The argument…

High Energy Physics - Lattice · Physics 2009-10-28 Martin Luescher , Peter Weisz

Aspects of parity-preserving, three-dimensional conformal field theories (CFTs) with a global $U(1)$ symmetry in the presence of a background magnetic field are investigated. A local effective action is constructed to four-derivative order,…

High Energy Physics - Theory · Physics 2025-05-21 Christopher P. Herzog , William H. Pannell , Biswajit Sahoo , Andreas Stergiou

The application of the background-field method to the electroweak Standard Model and its virtues are reviewed. Special emphasis is directed to the Ward identities that follow from the gauge invariance of the background-field effective…

High Energy Physics - Phenomenology · Physics 2011-04-15 A. Denner , S. Dittmaier , G. Weiglein

We calculate the splitting between fermion and anti-fermion effective masses in high temperature gauge theories in the presence of a non-vanishing chemical potential due to the $CP$-asymmetric fermionic background. In particular we consider…

High Energy Physics - Phenomenology · Physics 2010-11-01 A. Erdas , C. W. Kim , J. A. Lee

We investigate the background field method with the Batalin-Vilkovisky formalism, to generalize known results, study parametric completeness and achieve a better understanding of several properties. In particular, we study renormalization…

High Energy Physics - Theory · Physics 2014-02-12 Damiano Anselmi

The effective potential of the order parameter for confinement is calculated for SU(N) Yang--Mills theory in the Hamiltonian approach. Compactifying one spatial dimension and using a background gauge fixing, this potential is obtained…

High Energy Physics - Theory · Physics 2013-10-08 Hugo Reinhardt , Jan Heffner

We explore the effects of artificial $U(3)$ gauge potentials on ultracold atoms. We study background gauge fields with both non-constant and constant Wilson loops around plaquettes, obtaining the energy spectra in each case. The scenario of…

Quantum Gases · Physics 2016-08-02 Ipsita Mandal , Atri Bhattacharya

We introduce topological gauge fields as nontrivial field configurations enforced by topological currents. These fields crucially determine the form of statistical gauge fields that couple to matter and transmute their statistics. We…

Quantum Gases · Physics 2023-01-04 Gerard Valentí-Rojas , Aneirin J. Baker , Alessio Celi , Patrik Öhberg

By the appropriate use of the Fock-Schwinger gauge properties, we derive the closed integral form of the `point-split' non-local background gauge connection originally expressed as a finite sum. This is achieved in the limit when the finite…

High Energy Physics - Theory · Physics 2007-05-23 Emmanuel T. Rodulfo , Joseph Ambrose G. Pagaran

We study a field theory formulation of a fluid mechanical model. We implement the Hamiltonian formalism by using the BFFT conjecture in order to build a gauge invariant fluid field theory. We also generalize previous known classical…

High Energy Physics - Theory · Physics 2009-10-31 C. P. Natividade , H. Boschi-Filho

We apply the finite size scaling analysis to the derivative of the density of the effective action for the lattice U(1) pure gauge theory in an external constant magnetic field. We found the presence of a continuous phase transition.…

High Energy Physics - Lattice · Physics 2009-10-28 Paolo Cea , Leonardo Cosmai , Antonio D. Polosa

We show that it is possible to formulate a gauge theory starting from a local action at the ultraviolet (UV) momentum cutoff which is BRS invariant. One has to require that fields in the UV action and the fields in the effective action are…

High Energy Physics - Theory · Physics 2009-10-30 M. Bonini , G. Marchesini

Using the background field method for the functional renormalization group approach in the case of a generic gauge theory, we study the background field symmetry and gauge dependence of the background average effective action, when the…

High Energy Physics - Theory · Physics 2019-08-23 Peter M. Lavrov , Eduardo Antonio dos Reis , Tibério de Paula Netto , Ilya L. Shapiro

The effective potential of the order parameter for confinement is calculated within the Hamiltonian approach by compactifying one spatial dimension and using a background gauge fixing. Neglecting the ghost and using the perturbative gluon…

High Energy Physics - Theory · Physics 2015-06-11 Hugo Reinhardt , Jan Heffner

We propose a method for identifying holographic chemical potentials of conserved charges. The guiding principle is the consistency of the identification with the thermodynamic relations and the Legendre transformation. We consider the…

High Energy Physics - Theory · Physics 2008-12-30 Shin Nakamura

We show that any BRST invariant quantum action with open or closed gauge algebra has a corresponding local background gauge invariance. If the BRST symmetry is anomalous, but the anomaly can be removed in the antifield formalism, then the…

High Energy Physics - Theory · Physics 2009-10-28 Kostas Skenderis

In gravitation theory with a background metric, a gravitational field is described by a (1,1)-tensor field. The energy-momentum conservation law imposes a gauge condition on this field.

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. Sardanashvily