Volume 131, Number 3, August 2020
|Number of page(s)||7|
|Section||The Physics of Elementary Particles and Fields|
|Published online||01 September 2020|
Revealing hidden symmetries and gauge invariance of the massive Carroll-Field-Jackiw model
1 Departamento de Física, Universidade Federal de Juiz de Fora- UFJF - 36036-330, Juiz de Fora, MG, Brazil
2 Departamento de Física, Universidade Federal Rural do Rio de Janeiro- UFRRJ - 23890-971, Seropédica, RJ, Brazil
3 Programa de Pós- Graduação Interdisciplinar em Física Aplicada, Instituto de Física, Universidade Federal do Rio de Janeiro-UFRJ - 21941-972, Rio de Janeiro, RJ, Brazil
Received: 6 May 2020
Accepted: 27 July 2020
In this paper we have analyzed the improved version of the Gauge Unfixing (GU) formalism of the massive Carroll-Field-Jackiw model, which breaks both the Lorentz and gauge invariances, to disclose hidden symmetries to obtain gauge invariance, the key stone of the Standard Model. In this process, as usual, we have converted this second-class system into a first-class one and we have obtained two gauge invariant models. We have verified that the Poisson brackets involving the gauge invariant variables, obtained through the GU formalism, coincide with the Dirac brackets between the original second-class variables of the phase space. Finally, we have obtained two gauge invariant Lagrangians where one of them represents the Stückelberg form.
PACS: 11.15.-q – Gauge field theories / 11.10.Ef – Lagrangian and Hamiltonian approach / 11.30.Cp – Lorentz and Poincaré invariance
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