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We propose a gauge invariant formulation of the effective potential in terms of a gauge invariant order parameter, for the Abelian Higgs model. The one-loop contribution at zero and finite temperature is computed explicitly, and the leading…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Boyanovsky , D. Brahm , R. Holman , D. -S. Lee

We discuss the cutting rules in the real time approach to finite temperature field theory and show the existence of cancellations among classes of cut graphs which allows a physical interpretation of the imaginary part of the relevant…

High Energy Physics - Phenomenology · Physics 2009-10-28 P. F. Bedaque , A. Das , S. Naik

A formalism is presented which allows covariant three-dimensional bound-state equations to be derived systematically from four-dimensional ones without the use of delta-functions. The amplitude for the interaction of a bound state described…

Nuclear Theory · Physics 2009-04-17 D. R. Phillips , S. J. Wallace

The classical approximation provides a non-perturbative approach to time-dependent problems in finite temperature field theory. We study the divergences in hot classical field theory perturbatively. At one-loop, we show that the linear…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gert Aarts , Bert-Jan Nauta , Chris G. van Weert

Nonequilibrium calculations in the presence of an electric field are usually performed in a gauge, and need to be transformed to reveal the gauge-invariant observables. In this work, we discuss the issue of gauge invariance in the context…

Strongly Correlated Electrons · Physics 2015-10-28 J. K. Freericks , H. R. Krishnamurthy , M. A. Sentef , T. P. Devereaux

We investigate non-Abelian gauge theories within a Wilsonian Renormalisation Group approach. Our main question is: How close can one get to a gauge invariant flow, despite the fact that a Wilsonian coarse-graining seems to be incompatible…

High Energy Physics - Theory · Physics 2007-05-23 Daniel F. Litim , Jan M. Pawlowski

There is considered an extension of gauge theories according to the assumption of a generalized uncertainty principle which implies a minimal length scale. A modification of the usual uncertainty principle implies an extended shape of…

General Physics · Physics 2011-12-06 Martin Kober

We present a classical formalism describing two-time physics with Abelian canonical gauge field backgrounds. The formalism can be used as a starting point for the construction of an interacting quantized two-time physics theory in a…

High Energy Physics - Theory · Physics 2007-05-23 W. Chagas-Filho

We evaluate gauge invariants (vacuum energy and gauge invariant overlap) for numerical classical solutions in cubic open string field theory under Asano-Kato's $a$-gauge fixing condition. We propose an efficient iterative procedure for…

High Energy Physics - Theory · Physics 2009-08-05 Isao Kishimoto , Tomohiko Takahashi

The field-theoretical approach is reviewed. Perturbations in general relativity as well as in an arbitrary $D$-dimensional metric theory are studied on a background, which is a solution (arbitrary) of the theory. Lagrangian for…

General Relativity and Quantum Cosmology · Physics 2008-10-16 A. N. Petrov

In the usual real-time finite-temperature gauge theory both the physical and the unphysical degrees of freedom are thermalised. We discuss the alternative approach where only the physical transverse components of the gauge field have bare…

High Energy Physics - Phenomenology · Physics 2009-10-22 P V Landshoff , A Rebhan

Translation-invariant noncommutative gauge theories are discussed in the setting of matrix modeled gauge theories. Using the matrix model formulation the explicit form of consistent anomalies and consistent Schwinger terms for…

High Energy Physics - Theory · Physics 2015-05-27 Amir Abbass Varshovi

In second order perturbation theory different definitions are known of gauge invariant perturbations in single field inflationary models. Consequently the corresponding gauge invariant cubic actions do not have the same form. Here we show…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Tomislav Prokopec , Jan Weenink

Linear cosmological perturbation theory is pivotal to a theoretical understanding of current cosmological experimental data provided e.g. by cosmic microwave anisotropy probes. A key issue in that theory is to extract the gauge invariant…

General Relativity and Quantum Cosmology · Physics 2010-02-17 K. Giesel , S. Hofmann , T. Thiemann , O. Winkler

We present a BRST symmetric gaugeon formalism for the two-form gauge fields. A set of vector gaugeon fields is introduced as a quantum gauge freedom. One of the gaugeon fields satisfies a higher derivative field equation; this property is…

High Energy Physics - Theory · Physics 2019-12-06 Masataka Aochi , Ryusuke Endo , Hikaru Miura

Invariant tensors play an important role in gauge theories, for example, in dualities of N=1 gauge theories. However, for theories with fields in representations larger than the fundamental, the full set of invariant tensors is often…

High Energy Physics - Theory · Physics 2018-06-13 Dillon Berger , Jessica N. Howard , Arvind Rajaraman

We revisit the gauge issue in cosmological perturbation theory, and highlight its relation to the notion of covariance in general relativity. We also discuss the similarities and differences of the covariant approach in perturbation theory…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-09 Karim A. Malik , David R. Matravers

This is the Part III paper of our series of papers on a gauge-invariant perturbation theory on the Schwarzschild background spacetime. After reviewing our general framework of the gauge-invariant perturbation theory and the proposal on the…

General Relativity and Quantum Cosmology · Physics 2025-02-07 Kouji Nakamura

The irreducible antifield formalism for $p$-form gauge theories with gauge invariant interaction terms is exposed. The ghosts of ghosts do not appear. The acyclicity of the Koszul-Tate operator is ensured without introducing antifields at…

High Energy Physics - Theory · Physics 2009-10-31 C. Bizdadea , S. O. Saliu

The dependence of thermal field theory on the surface of quantization and on the velocity of the heat bath is investigated by working in general coordinates that are arbitrary linear combinations of the Minkowski coordinates. In the general…

High Energy Physics - Phenomenology · Physics 2009-11-10 H. Arthur Weldon