Issue |
EPL
Volume 141, Number 2, January 2023
|
|
---|---|---|
Article Number | 22001 | |
Number of page(s) | 7 | |
Section | Mathematical and interdisciplinary physics | |
DOI | https://doi.org/10.1209/0295-5075/acad99 | |
Published online | 04 January 2023 |
Improved gauge-unfixing formalism through a prototypical second-class system
1 Instituto de Ciências Exatas, Universidade Federal de Juiz de Fora - Rua José Loureno Kelmer São Pedro Juiz de Fora, 36036-330, Brazil
2 Centro Brasileiro de Pesquisas Físicas - Rua Dr. Xavier Sigaud 150, Urca, Rio de Janeiro, 22290-180, Brazil
3 Departamento de Ciências Exatas e Naturais, Universidade Estadual do Sudoeste da Bahia Rodovia BR 415, Km 03, S/N, Itapetinga, 45700-000, Brazil
(a) E-mail: thibes@uesb.edu.br (corresponding autor)
Received: 30 October 2022
Accepted: 21 December 2022
We contextualize the improved gauge-unfixing (GU) formalism within a rather general prototypical second-class system, obtaining a corresponding first-class equivalent description enjoying gauge invariance which can be applied to several situations. The prototypical system is chosen to represent a considerable class of relevant models in field theory. By considering the improved version of the GU formalism, we show that any gauge-invariant function can be obtained in terms of a specific deformation in phase space, benefiting thus from the fact that no auxiliary variables are needed in the process. In this way, the resulting converted first-class system is constructed out of the same original canonical variables, preserving the number of degrees of freedom. We illustrate the technique with an application to the nonlinear sigma model.
© 2023 EPLA
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.