We propose a construction for nonlinear off-shell gauge field theories based on a constrained system quantized in the sense of deformation quantization. The key idea is to consider the star-product BFV–BRST master equation as an equation of motion. The construction is formulated in terms of the BRST extention of the unfolded formalism that can also be understood as an appropriate generalization...

We show that the Grassmannian independence of the super Lagrangian density, expressed in terms of the superfields defined on a (4, 2)-dimensional supermanifold, is a clear-cut proof for the Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST invariance of the corresoponding four (3 + 1)-dimensional (4D) Lagrangian density that describes the interaction between the U(1) gauge field and the charged co...

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....

A novel BRST quantization is described, which is applied in generalizing the JackiwNair construction of anyon. We have explicitly shown that the matter states connected to an unconventional ("non-zero") BRST ghost sector are physical. They are identi ed to the Jackiw-Nair system in a particular gauge. Also for the rst time an indepth analysis of the present kind for a reducible constraint syste...

We discuss various symmetry properties of the reparametrization invariant toy model of a free non-relativistic particle and show that its commutativity and noncommu-tativity (NC) properties are the artifact of the underlying symmetry transformations. By exploiting the Becchi-Rouet-Stora-Tyutin (BRST) symmetry transformations, we demonstrate the existence of the NC and show its cohomological equ...

A new local, covariant and nilpotent symmetry is shown to exist for the interacting BRST invariant U(1) gauge theory in two dimensions of spacetime. Under this new symmetry , it is the gauge-fixing term that remains invariant and the corresponding transformations on the Dirac fields turn out to be the analogue of chiral transformations. Possible interpretation and implication of this symmetry a...

Canonical treatment of two dimensional gravity as an anomalous gauge theory ABSTRACT The extended phase space method of Batalin, Fradkin and Vilkovisky is applied to formulate two dimensional gravity in a general class of gauges. A BRST formulation of the light-cone gauge is presented to reveal the relationship between the BRST symmetry and the origin of SL(2, R) current algebra. From the same ...

The exceptional superalgebra D(2, 1;α) has been classified as a candidate conformal supersymmetry algebra in two dimensions. We propose an alternative interpretation of it as extended BFV-BRST quantisation superalgebras in 2D (D(2, 1; 1) ≃ osp(2, 2|2)). A superfield realization is presented wherein the standard extended phase space coordinates can be identified. The physical states are studied ...

Canonical BRST quantization of the topological particle defined by a Morse function h is described. Stochastic calculus, using Brownian paths which implement the WKB method in a new way providing rigorous tunnelling results even in curved space, is used to give an explicit and simple expression for the matrix elements of the evolution operator for the BRST Hamiltonian. These matrix elements lea...

A novel BRST quantization is described, which is applied in generalizing the JackiwNair construction of anyon. We have explicitly shown that the matter states connected to an unconventional (”non-zero”) BRST ghost sector are physical. They are identified to the Jackiw-Nair system in a particular gauge. Also for the first time an indepth analysis of the present kind for a reducible constraint sy...