Volume 135, Number 2, July 2021
|Number of page(s)||7|
|Section||The Physics of Elementary Particles and Fields|
|Published online||29 September 2021|
Modified Proca theory in arbitrary and two dimensions
1 Physics Department, Centre of Advanced Studies, Institute of Science, Banaras Hindu University Varanasi-221 005, Uttar Pradesh, India
2 DST Centre for Interdisciplinary Mathematical Sciences, Institute of Science, Banaras Hindu University Varanasi-221 005, India
Received: 3 August 2021
Accepted: 10 September 2021
We demonstrate that the standard Stückelberg-modified Proca theory (i.e., a massive Abelian 1-form theory) respects the classical gauge and corresponding quantum (anti-)BRST symmetry transformations in any arbitrary dimension of spacetime within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism. We further show that the Stückelberg formalism gets modified in the two ()-dimensions of spacetime due to a couple of discrete duality symmetry transformations in the theory which turn out to be responsible for the existence of the nilpotent (anti-)co-BRST symmetry transformations corresponding to the nilpotent (anti-)BRST symmetry transformations of our theory. These nilpotent symmetries exist together in the modified version of the two ()-dimensional (2D) Proca theory. We provide the mathematical basis for the modification of the Stückelberg technique, the existence of the discrete duality as well as the continuous (anti-)co-BRST symmetry transformations in the 2D modified version of Proca theory.
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