The Noncovariant Gauges in 3-Form Theories

Abstract

We study the 3-form gauge theory in the context of generalized BRST formulation. We construct the finite field-dependent BRST (FFBRST) symmetry for such a theory. The generating functional for 3-form gauge theory in noncovariant gauge is obtained from that of in covariant gauge. We further extend the results by considering 3-form gauge theory in the context of Batalin-Vilkovisky (BV) formulation.

The Quantum Description of BF Model in Superspace

“…The BV method also address the possible violations of symmetries of the action by quantum effects. The BV formulation (independently introduced by Zinn-Justin [21]) extends the BRST approach [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36]. In fact, the BRST symmetry [37,38] is a very important symmetry for gauge theories [26,[39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54].…”

Generalized BRST symmetry for arbitrary spin conformal field theory

“…The FFBRST formulation, which was introduced for the first time by Joglekar and Mandal [14], has been studied considerably in various contexts [15][16][17][18][19][20][21][22][23][24][25][26][27][28]. For example, such formulation helps in calculating a correct prescription for poles in the gauge field propagators in noncovariant gauges by connecting the covariant gauges and noncovariant gauges of the theory [15,18].…”

Reducible gauge theories in very special relativity

“…Higher-form gauge theories are important ingredients in supergravity and superstring theory. They are also important for the other branches of physics [28][29][30][31][32][33]. For instance, the low energy excitations in string theories contain states described by antisymmetric tensor fields [34,35].…”