https://doi.org/10.1140/epjp/s13360-025-06293-1
Regular Article
On gauge fixing of the vector Schwinger model under the lens of BRST and finite field-dependent BRST formalism
Durgapur Government College, 713214, Durgapur, West Bengal, India
a manisurn@gmail.com, anisur@associates.iucaa.ac.in
Received:
2
October
2024
Accepted:
3
April
2025
Published online:
20
May
2025
The vector Schwinger model in 
dimension is examined, with two distinct gauge-fixing terms and a gauge-fixing-like term. The gauge-fixing terms are the well-known Lorenz gauge 
and an unconventional so-called quadratic gauge-fixing 
. The term that looks like gauge fixing is 
. Given that Lorenz gauge fixing and the so-called quadratic gauge fixing are valid gauge choices, the effective theories that follow from their implementation are found to be equivalent by employing the finite field-dependent BRST formalism. Even though it seems to be the gauge-fixing terms, cannot be considered legitimate gauge fixing even if it can eliminate the gauge redundancy. Precisely, it is a counter term that results from regularization by sacrificing gauge invariance in order to remove the singularity of the fermionic determinant that appeared during the process of bosonization. This term alters the physical content of the theory and the confining aspect of fermions.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
