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

Department of Sciences of the UPN

Universidade Federal de Juiz de Fora
Universidade Federal Rural do Rio de Janeiro
Universidade Federal do Rio de Janeiro
Universidade Federal Fluminense

Research output: Contribution to journal › Article › peer-review

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

Access to Document

10.1007/s13538-023-01282-0

Cite this

@article{b289173de72f425da80686d112a9c0a8,

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.",

year = "2023",

month = jun,

doi = "10.1007/s13538-023-01282-0",

language = "English",

volume = "53",

journal = "Brazilian Journal of Physics",

issn = "0103-9733",

number = "3",

}

TY - JOUR

T1 - Restoring Gauge Invariance in Non-Abelian Second-class Theories

AU - Abreu, Everton M.C.

AU - Alves, Paulo R.F.

AU - Costa, Cleber N.

AU - Fiorentini, Diego

AU - Ananias Neto, Jorge

AU - Otoya, Victor J.Vasquez

PY - 2023/6

Y1 - 2023/6

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

UR - https://www.scopus.com/pages/publications/85152587467

U2 - 10.1007/s13538-023-01282-0

DO - 10.1007/s13538-023-01282-0

M3 - Article

AN - SCOPUS:85152587467

SN - 0103-9733

VL - 53

JO - Brazilian Journal of Physics

JF - Brazilian Journal of Physics

IS - 3

M1 - 71

ER -

Restoring Gauge Invariance in Non-Abelian Second-class Theories

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this