Modified Proca Theory in Arbitrary and Two Dimensions
Abstract
We demonstrate that the standard Stueckelberg-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 Stueckelberg formalism gets modified in the two (1+1)-dimensions of spacetime due to a couple of discrete duality symmetries 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 (1+1)-dimensional (2D) Proca theory. We provide the mathematical basis for the modification of the Stueckelberg-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.
Cite
@article{arxiv.2108.00470,
title = {Modified Proca Theory in Arbitrary and Two Dimensions},
author = {A. K. Rao and R. P. Malik},
journal= {arXiv preprint arXiv:2108.00470},
year = {2021}
}
Comments
LaTeX file, 13 pages, minor changes in the text, journal reference given