Issue |
EPL
Volume 145, Number 3, February 2024
|
|
---|---|---|
Article Number | 34001 | |
Number of page(s) | 7 | |
Section | Nuclear and plasma physics, particles and fields | |
DOI | https://doi.org/10.1209/0295-5075/ad1dea | |
Published online | 20 February 2024 |
Note on an extended chiral bosons system contextualized in a modified gauge-unfixing formalism
1 Departamento de Física, Universidade Federal de Juiz de Fora - Juiz de Fora, 36036-330, MG, Brazil
2 Universidade Estadual do Sudoeste da Bahia, DCEN - Rodovia BR 415, Km 03, Itapetinga, 45700-000, BA, Brazil
Received: 29 November 2023
Accepted: 12 January 2024
We analyze the Hamiltonian structure of an extended chiral bosons theory in which the self-dual constraint is introduced via a control α-parameter. The system has two second-class constraints in the non-critical regime and an additional one in the critical regime. We use a modified gauge-unfixing (GU) formalism to derive a first-class system, disclosing hidden symmetries. To this end, we choose one of the second-class constraints to build a corresponding gauge symmetry generator. The worked out procedure converts second-class variables into first-class ones allowing the lifting of gauge symmetry. Any function of these GU variables will also be invariant. We obtain the GU Hamiltonian and Lagrangian densities in a generalized context containing the Srivastava and Floreanini-Jackiw models as particular cases. Additionally, we observe that the resulting GU Lagrangian presents similarities to the Siegel invariant Lagrangian which is known to be suitable for describing chiral bosons theory with classical gauge invariance, however broken at quantum level. The final results signal a possible equivalence between our invariant Lagrangian obtained from the modified GU formalism and the Siegel invariant Lagrangian, with a distinct gauge symmetry.
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