We convert the self-dual model of Townsend, Pilch, and Nieuwenhuizen to a first-class system using the generalized canonical formalism of Batalin, Fradkin, and Tyutin and show that gauge-invariant fields in the embedded model can be identified with observables in the Maxwell-Chern-Simons theory as well as with the fundamental fields of the self-dual model. We construct the phase-space partition...

We discuss the (dual-)gauge transformations for the gauge-fixed Lagrangian density and establish their intimate connection with the translation subgroup T (2) of the Wigner’s little group for the free one-form Abelian gauge theory in four (3+1)-dimensions (4D) of spacetime. This connection is further elaborated and demonstrated in the framework of Becchi-Rouet-Stora-Tyutin (BRST) cohomology def...

We convert the second class Proca model into a first class theory by using the generalised prescription of Batalin, Fradkin and Tyutin. We then show how a basic set of gauge invariant fields in the embedded model can be identified with the fundamental fields in the proca model as well as with the observables in the Stückelberg model or in the model involving the interaction of an abelian 2-form...

The embedding procedure of Batalin, Fradkin, and Tyutin, which allows to convert a second-class system into a first-class one, is employed to convert second-class interacting models. Two cases are considered. One, is the SelfDual model minimally coupled to a Dirac fermion field. The other, the SelfDual model minimally coupled to a charged scalar field. In both cases, they are found equivalent i...

The Becci-Rouet-Stora-Tyutin (BRST) operator quantization of a finitedimensional gauge system featuring two quadratic super Hamiltonian and m linear supermomentum constraints is studied as a model for quantizing generally covariant gauge theories. The proposed model “completely” mimics the constraint algebra of general relativity. The Dirac constraint operators are identified by realizing the B...

Covariant quantization of the Nambu-Goto spinning particle in 2+1-dimensions is studied. The model is relevant in the context of recent activities in non-commutative space-time. From a technical point of view also covariant quantization of the model poses an interesting problem: the set of second class constraints (in the Dirac classification scheme) is reducible. The reducibil-ity problem is a...

The principle of local gauge invariance is introduced in the study of the Hamiltonian dynamics of a compressible inviscid fluid. In the first part of the paper, a novel gauging of the global symmetries is proposed which is both non-minimal and non-linear. The resulting MHD is analysed in detail. In the second part, the free fluid model is embedded in an extended space in the Batalin-Tyutin fram...

Basic properties of gauge theories in the framework Faddeev-Popov (FP) method, Batalin-Vilkovisky (BV) formalism, and functional renormalization group (FRG) approach are considered. The FP BV quantizations characterized by Becchi-Rouet-Stora-Tyutin (BRST) symmetry, while BRST symmetry is broken FRG approach. It shown that can be provided with Slavnov-Taylor identity, Ward modified respectively....

We characterize the correspondence between twisted $N=2$ super-Yang-Mills theory and Baulieu-Singer topological quantized in self-dual Landau gauges. While first is based on an on-shell supersymmetry, second off-shell Becchi-Rouet-Stora-Tyutin symmetry. Because of equivariant cohomology, ultraviolet regime theories share same observables, Donaldson invariants for 4-manifolds. The triviality Gri...