Restoring Gauge Invariance in Non-Abelian Second-class Theories

Everton M.C. Abreu; Paulo R.F. Alves; Cleber N. Costa; Diego Fiorentini; Jorge Ananias Neto; Victor J.Vasquez Otoya

doi:10.1007/s13538-023-01282-0

Restoring Gauge Invariance in Non-Abelian Second-class Theories

Everton M.C. Abreu, Paulo R.F. Alves, Cleber N. Costa, Diego Fiorentini, Jorge Ananias Neto, Victor J.Vasquez Otoya

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Abstract

In this paper, we propose a generalization of the improved gauge unfixing formalism in order to generate gauge symmetries in the non-Abelian valued systems. This generalization displays a proper and formal reformulation of second-class systems within the phase space itself. Then, we present our formalism in a manifestly gauge invariant resolution of the SU(N) massive Yang-Mills and SU(2) Skyrme models, where gauge invariant variables are derived.

Original language	English
Article number	71
Journal	Brazilian Journal of Physics
Volume	53
Issue number	3
DOIs	https://doi.org/10.1007/s13538-023-01282-0
State	Published - Jun 2023

Keywords

Improved gauge unfixing
Skyrme model
Yang-Mills theory

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10.1007/s13538-023-01282-0

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title = "Restoring Gauge Invariance in Non-Abelian Second-class Theories",

abstract = "In this paper, we propose a generalization of the improved gauge unfixing formalism in order to generate gauge symmetries in the non-Abelian valued systems. This generalization displays a proper and formal reformulation of second-class systems within the phase space itself. Then, we present our formalism in a manifestly gauge invariant resolution of the SU(N) massive Yang-Mills and SU(2) Skyrme models, where gauge invariant variables are derived.",

keywords = "Improved gauge unfixing, Skyrme model, Yang-Mills theory",

author = "Abreu, {Everton M.C.} and Alves, {Paulo R.F.} and Costa, {Cleber N.} and Diego Fiorentini and {Ananias Neto}, Jorge and Otoya, {Victor J.Vasquez}",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s) under exclusive licence to Sociedade Brasileira de F{\'i}sica.",

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AU - Costa, Cleber N.

AU - Fiorentini, Diego

AU - Ananias Neto, Jorge

AU - Otoya, Victor J.Vasquez

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N2 - In this paper, we propose a generalization of the improved gauge unfixing formalism in order to generate gauge symmetries in the non-Abelian valued systems. This generalization displays a proper and formal reformulation of second-class systems within the phase space itself. Then, we present our formalism in a manifestly gauge invariant resolution of the SU(N) massive Yang-Mills and SU(2) Skyrme models, where gauge invariant variables are derived.

AB - In this paper, we propose a generalization of the improved gauge unfixing formalism in order to generate gauge symmetries in the non-Abelian valued systems. This generalization displays a proper and formal reformulation of second-class systems within the phase space itself. Then, we present our formalism in a manifestly gauge invariant resolution of the SU(N) massive Yang-Mills and SU(2) Skyrme models, where gauge invariant variables are derived.

KW - Improved gauge unfixing

KW - Skyrme model

KW - Yang-Mills theory

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JO - Brazilian Journal of Physics

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ER -

Restoring Gauge Invariance in Non-Abelian Second-class Theories

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Keywords

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