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We investigate solutions to a nonlinear integral equation which has a central role in implementing the non-Abelian Gauss's Law and in constructing gauge-invariant quark and gluon fields. Here we concern ourselves with solutions to this same…

High Energy Physics - Theory · Physics 2009-10-31 Kurt Haller , Lusheng Chen , Y. S. Choi

We construct a gauge-invariant action for covariant type II string field theory in the NS-NS sector. Our construction is based on the large Hilbert space description and Zwiebach's string products are used. First, we rewrite the action for…

High Energy Physics - Theory · Physics 2019-05-02 Hiroaki Matsunaga

Gauge-invariant perturbation theory for theories with a Brout-Englert-Higgs effect, as developed by Fr\"ohlich, Morchio and Strocchi, starts out from physical, exactly gauge-invariant quantities as initial and final states. These are…

High Energy Physics - Lattice · Physics 2016-10-14 Pascal Törek , Axel Maas

We present a numerical technique for calculating path integrals in non-compact U(1) and SU(2) gauge theories. The gauge fields are represented by a superposition of pseudoparticles of various types with their amplitudes and color…

High Energy Physics - Lattice · Physics 2007-05-23 Marc Wagner , Frieder Lenz

Several interacting models of chiral bosons and gauge fields are investigated on the noncommutative extended Minkowski spacetime which was recently proposed from a new point of view of disposing noncommutativity. The models include the…

High Energy Physics - Theory · Physics 2015-05-27 Yan-Gang Miao , Ying-Jie Zhao

We show how the Weyl anomaly generated by gauge fields, can be computed from manifestly gauge invariant and diffeomorphism invariant exact renormalization group equations, without having to fix the gauge at any stage. Regularisation is…

High Energy Physics - Theory · Physics 2018-03-28 Kevin Falls , Tim R. Morris

Change and local spatial variation are missing in canonical General Relativity's observables as usually defined, part of the problem of time. Definitions can be tested using equivalent formulations, non-gauge and gauge, because they must…

General Relativity and Quantum Cosmology · Physics 2017-03-06 J. Brian Pitts

We derive an exact expression for the Seiberg-Witten map of noncommutative gauge theory. It is found by studying the coupling of the gauge field to the Ramond-Ramond potentials in string theory. Our result also proves the earlier conjecture…

High Energy Physics - Theory · Physics 2009-09-17 Yuji Okawa , Hirosi Ooguri

We present non-trivial interactions of N=1 self-dual massive vector multiplet in three-dimensions, with gauged scale covariance. Our multiplets are a vector multiplet (A_\mu, \lambda) and a gauge multiplet (B_\mu, \chi), where the latter is…

High Energy Physics - Theory · Physics 2008-11-26 Hitoshi Nishino , Subhash Rajpoot

Using the extended ADM-phase space formulation in the canonical framework we analyze the relationship between various gauge choices made in cosmological perturbation theory and the choice of geometrical clocks in the relational formalism.…

General Relativity and Quantum Cosmology · Physics 2018-07-25 Kristina Giesel , Adrian Herzog , Parampreet Singh

In this paper we display a direct and physically attractive derivation of the screening contribution to the interaction potential in the Chiral Schwinger model and generalized Maxwell-Chern-Simons gauge theory. It is shown that these…

High Energy Physics - Theory · Physics 2009-11-07 Patricio Gaete , Iván Schmidt

The aim of this paper is to show the gauge-invariance on the response of interferometers to gravitational waves (GWs). In this process, after a review of results on the Tranverse-Traceless (TT) gauge, where, in general, the theoretical…

General Relativity and Quantum Cosmology · Physics 2011-03-25 Christian Corda

In order to eliminate gauge variant degrees of freedom we study the way to introduce gauge invariant fields in pure non-Abelian Yang-Mills theory. Our approach is based on the use of the gauge-invariant but path-dependent variables…

High Energy Physics - Theory · Physics 2007-05-23 Patricio Gaete

A variational method is discussed, extending the Gaussian effective potential to higher orders. The single variational parameter is replaced by trial unknown two-point functions, with infinite variational parameters to be optimized by the…

High Energy Physics - Phenomenology · Physics 2013-09-30 Fabio Siringo

These are lecture notes for an introductory course on noncommutative field and gauge theory. We begin by reviewing quantum mechanics as the prototypical noncommutative theory, as well as the geometrical language of standard gauge theory.…

High Energy Physics - Theory · Physics 2023-10-02 Patrizia Vitale , Martina Adamo , Roukaya Dekhil , Diego Fernández-Silvestre

Quantum field theory is assumed to be gauge invariant. However it is well known that when certain quantities, such as the vacuum current, are calculated the results are not gauge invariant. The non-gauge invariant terms have to be removed…

Quantum Physics · Physics 2007-10-23 Dan Solomon

A gauge-invariant field is found which describes physical configurations, i.e. gauge orbits, of non-Abelian gauge theories. This is accomplished with non-Abelian generalizations of the Poincare'-Hodge formula for one-forms. In a particular…

High Energy Physics - Theory · Physics 2009-11-10 Peter Orland

We review the Standard Model in a form conducive to formulating its possible short distance extensions. This depends on the value of the Higgs mass, the only unknown parameter of the model. We suggest methods to reproduce many of the small…

High Energy Physics - Phenomenology · Physics 2015-06-25 P. Ramond

We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero B-field. We identify a limit in which the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a…

High Energy Physics - Theory · Physics 2010-04-07 Nathan Seiberg , Edward Witten

By using the Lie's invariance infinitesimal criterion we obtain the continuous equivalence transformations of a class of nonlinear Schr\"{o}dinger equations with variable coefficients. Starting from the equivalence generators we construct…

Exactly Solvable and Integrable Systems · Physics 2009-11-11 M. Senthilvelan , M. Torrisi , A. Valenti
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