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We consider non-Abelian gauged version of chiral boson with a generalized Faddeevian regularization. It is a second class constrained theory. We quantize the theory and analyze the phase space. It is shown that in spite of the lack of…

High Energy Physics - Theory · Physics 2008-11-26 Anisur Rahaman

We consider the conformal gauging of non-abelian groups. In such cases there are inequivalent ways of gauging (generalizing the axial and vector cases for abelian groups) corresponding to external automorphisms of the group. Different…

High Energy Physics - Theory · Physics 2009-10-28 E. Kiritsis , N. Obers

The Seiberg-Witten formalism has been realized as an electrodynamics in phase space (associated to the Dirac equation written in phase space) and this fact is explored here with non-abelian gauge group. First, a physically heuristic…

High Energy Physics - Theory · Physics 2019-09-04 J. S. Cruz-Filho , R. G. G. Amorim , F. C. Khanna , A. E. Santana , A. F. Santos , S. C. Ulhoa

We develop a general setting for the quantization of linear bosonic and fermionic field theories subject to local gauge invariance and show how standard examples such as linearized Yang-Mills theory and linearized general relativity fit…

Mathematical Physics · Physics 2013-04-18 Thomas-Paul Hack , Alexander Schenkel

We report here the status of different gauge conditions in the canonical formulation of quantum electrodynamics on light-front surfaces. We start with the massive vector fields as pedagogical models where all basic concepts and possible…

High Energy Physics - Theory · Physics 2007-05-23 Jerzy A. Przeszowski

All order Seiberg--Witten maps of gauge parameter, gauge field and matter fields are given as a closed recursive formula. These maps are obtained by analyzing the order by order solutions of the gauge consistency and equivalence conditions…

High Energy Physics - Theory · Physics 2008-11-26 Kayhan Ulker , Baris Yapiskan

I point out two of the subtleties referred to in the title. The first is that gauge-invariant magnetic systems may realized under general circumstances, as suggested by a simple theorem. The second subtlety is that care is needed to…

High Energy Physics - Lattice · Physics 2013-11-19 Peter Orland

In this letter, we suggest a local covariant action for a gauge field theory of fermionic Continuous-Spin Particles (CSPs). The action is invariant under gauge transformations without any constraint on both the gauge field and the gauge…

High Energy Physics - Theory · Physics 2018-03-28 X. Bekaert , M. Najafizadeh , M. R. Setare

We derive the expression of the abelian axial anomaly in the so-called multi-Weyl and triple-point crossing semimetals. No simplifying restrictions are assumed on the symmetry of the spectrum. Three different computation methods are…

Strongly Correlated Electrons · Physics 2018-06-27 Luca Lepori , Michele Burrello , Enore Guadagnini

We apply the general conception of non-Abelian gauge fields for description of magnetic soliton excitations. We show that the component of the gauge field along the soliton local magnetization (Abelian part of the gauge potential)…

Pattern Formation and Solitons · Physics 2016-05-04 K. Y. Guslienko

We derive Feynman rules for gauge theories exhibiting spontaneous symmetry breaking using the real-time formalism of finite temperature field theory. We also derive the thermal propagators where only the physical degrees of freedom are…

High Energy Physics - Phenomenology · Physics 2009-10-22 T. S. Evans , A. C. Pearson

An $\alpha$-parameter representation is derived for gauge field theories.It involves, relative to a scalar field theory, only constants and derivatives with respect to the $\alpha$-parameters. Simple rules are given to obtain the…

High Energy Physics - Theory · Physics 2009-10-31 Richard Hong Tuan

The Seiberg-Witten map links noncommutative gauge theories to ordinary gauge theories, and allows to express the noncommutative variables in terms of the commutative ones. Its explicit form can be found order by order in the noncommutative…

High Energy Physics - Theory · Physics 2009-11-07 Stephane Fidanza

We present a series of new gauge invariant quantities in Witten's open string field theory. They are defined for a given set of open string states which satisfy the physical state condition around a classical solution. For known classical…

High Energy Physics - Theory · Physics 2019-08-27 Toru Masuda , Hiroaki Matsunaga

The consistency condition of the Faddeev-Niemi ansatz for the gauge-fixed massless SU(2) gauge field is discussed. The generality of the ansatz is demonstrated by obtaining a sufficient condition for the existence of the three-component…

High Energy Physics - Theory · Physics 2009-10-31 M. Hirayama , M. Kanno , M. Ueno , H. Yamakoshi

A particular form of non-linear $\sigma$-model, having a global gauge invariance, is studied. The detailed discussion on current algebra structures reveals the non-abelian nature of the invariance, with {\it{field dependent structure…

High Energy Physics - Theory · Physics 2009-11-11 Subir Ghosh

A scale invariant theory of gravity, containing at most two derivatives, requires, in addition to the Riemannian metric, a scalar field and (or) a gauge field. The gauge field is usualy used to construct the affine connection of Weyl…

High Energy Physics - Theory · Physics 2024-02-08 N. Mohammedi

We show that a criterion for confinement, based on the BRST invariance, holds in four dimensions, by solving a non-Abelian gauge theory with a set of exact solutions. The confinement condition we consider was obtained by Kugo and Ojima some…

High Energy Physics - Theory · Physics 2018-04-06 Masud Chaichian , Marco Frasca

It is shown that in the case of the spherically symmetric static backgrounds there is a gauge in which the Dirac equation is manifestly covariant under rotations. This allows us to separate the spherical variables like in the flat…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ion I. Cotaescu

We explicitly write down the Feynman rules following the work of Dijkfraaf, Vafa and collaborators for N=1 super Yang-Mills having products of SU groups as the gauge group and matter chiral superfields in adjoint, fundamental, and…

High Energy Physics - Theory · Physics 2010-04-05 Yuji Tachikawa
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