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We discuss the issue of going off-shell in the proper time formalism. This is done by keeping a finite world sheet cutoff. We construct one example of an off-shell covariant Klein Gordon type interaction. For a suitable choice of the gauge…

High Energy Physics - Theory · Physics 2011-08-17 B. Sathiapalan

Gauge-invariant treatments of general-relativistic higher-order perturbations on generic background spacetime is proposed. We show the fact that the linear-order metric perturbation is decomposed into gauge-invariant and gauge-variant…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Kouji Nakamura

With the present trend in experimental particle physics of probing yet shorter distances and with the requirement on the theoretical side of renormalizability, conformal invariance becomes an attractive symmetry for particle interactions.…

High Energy Physics - Theory · Physics 2022-08-29 A. D. Alhaidari

The choice of a star product realization for noncommutative field theory can be regarded as a gauge choice in the space of all equivalent star products. With the goal of having a gauge invariant treatment, we develop tools, such as…

High Energy Physics - Theory · Physics 2008-11-26 A. Pinzul , A. Stern

I review the state of the art of the investigation on the structure formation in $f(R)$-gravity based on the Covariant and Gauge Invariant approach to perturbations. A critical analysis of the results, in particular the presence of…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Sante Carloni

"Physical theories of fundamental significance tend to be gauge theories. These are theories in which the physical system being dealt with is described by more variables than there are physically independent degree of freedom. The…

Classical Physics · Physics 2007-05-23 Germain Rousseaux

Consideration of the Noether variational problem for any theory whose action is invariant under global and/or local gauge transformations leads to three distinct theorems. These include the familiar Noether theorem, but also two equally…

High Energy Physics - Theory · Physics 2007-05-23 Katherine Brading , Harvey R. Brown

The effective field theory of cosmological perturbations stems from considering a cosmological background solution as a state displaying spontaneous breaking of time translations and (adiabatic) perturbations as the related Nambu-Goldstone…

High Energy Physics - Theory · Physics 2015-06-16 Federico Piazza , Filippo Vernizzi

We suggest that proper variables for the description of non-Abelian theories are those gauge invariant ones which keep the invariance of the winding number functional with respect to topologically nontrivial (large) gauge transformations.…

High Energy Physics - Theory · Physics 2007-05-23 D. Blaschke , V. N. Pervushin , G. Roepke

We consider a deformation of three dimensional BF theory by means of the antifield BRST formalism. Possible deformations for the action and the gauge symmetries are analyzed. We find a new class of gauge theories which include nonabelian BF…

High Energy Physics - Theory · Physics 2010-02-03 Noriaki Ikeda

Noncommutative field theories on Moyal spaces can be conveniently handled within a framework of noncommutative geometry. Several renormalisable matter field theories that are now identified are briefly reviewed. The construction of…

High Energy Physics - Theory · Physics 2008-11-26 Jean-Christophe Wallet

The concept of gauge invariance in classical electrodynamics assumes tacitly that Maxwell's equations have unique solutions. By calculating the electromagnetic field of a moving particle both in Lorenz and in Coulomb gauge and directly from…

Classical Physics · Physics 2007-05-23 Wolfgang Engelhardt

For a low-temperature expansion in QCD it is well-known that the Lagrangian of vacuum chiral perturbation theory can be applied. This is due to the fact that the thermal effects of the heavy modes are Boltzmann suppressed. The present work…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefan Leupold

We pick up a method originally developed by Cheng and Tsai for vacuum perturbation theory which allows to test the consistency of different sets of Feynman rules on a purely diagrammatic level, making explicit loop calculations superfluous.…

High Energy Physics - Theory · Physics 2009-10-09 Marc Achhammer , Ulrich Heinz , Stefan Leupold , Urs Achim Wiedemann

It has long been understood that the inclusion of temperature in the perturbative treatment of quantum field theories leads to complications that are not present at zero temperature. In these proceedings we report on the non-perturbative…

High Energy Physics - Phenomenology · Physics 2025-02-21 Peter Lowdon , Owe Philipsen

We consider two ways of introducing minimal Abelian gauge interactions into the model presented in [1]. They are different only if the second central charge of the planar Galilei group is nonzero. One way leads to standard gauge…

High Energy Physics - Theory · Physics 2009-11-07 J. Lukierski , P. C. Stichel , W. J. Zakrzewski

We discuss and review in this chapter the developing field of research of quantum simulation of gauge theories with ultracold atoms.

Quantum Physics · Physics 2019-11-15 João C. Pinto Barros , Michele Burrello , Andrea Trombettoni

Stringent restrictions for model building are imposed by a no-go theorem in noncommutative gauge field theory. Circumventing this theorem is crucial for the construction of realistic models of particle interactions. To this end, the…

High Energy Physics - Theory · Physics 2008-11-26 Masato Arai , Sami Saxell , Anca Tureanu , Nobuhiro Uekusa

These notes comprise the second part of two articles devoted to the construction of exact solutions of noncommutative gauge theory in two spacetime dimensions. Here we shall deal with the quantum field theory. Topics covered include an…

High Energy Physics - Theory · Physics 2015-06-26 L. D. Paniak , R. J. Szabo

In this work, we pursue further consequences of a general formalism for non-covariant gauges developed in an earlier work (hep-th/0205042). We carry out further analysis of the additional restrictions on renormalizations noted in that work.…

High Energy Physics - Theory · Physics 2009-11-07 Satish D. Joglekar