P. Yu. Moshin

Superfield lagrangian quantization with extended BRST symmetry

Abstract We consider possible superfield representations of extended BRST symmetry for general gauge theories within the principle of gauge-fixing based on a generating equation for the gauge functional. We examine admissible superfield choices for an extended antibracket and delta-operator with given algebraic properties and show that only one of these choices is compatible with the requirement of extended BRST symmetry realized in terms of supertranslations along Grassmann coordinates. We demonstrate that this realization leads to the gauge-independence of the S -matrix.

Quantization of model of antisymmetric tensor field in the framework of extended BRST symmetry

The model of an antisymmetric second-rank tensor field is quantized in both the Lagrangian and the Hamiltonian forms of extended BRST quantization. It is shown that the Lagrangian quantization leads to a unitaryS matrix.

Superfield Quantization in the Lagrangian Formalism

We generalize the superfield BRST quantization method for general gauge theories to the case of gauge fixing by the corresponding generating equation. We find a superfield form of the BRST symmetry of the vacuum functional and prove the gauge independence of the S-matrix. We show that the vacuum functional of the BV quantization method corresponds to a particular solution of the gauge-fixing generating equation. We discuss a modified version of the Ward identities related to the proposed generalized procedure of gauge fixing.

Superfield Quantization in the Sp(2)-Covariant Formalism

We generalize the rules for the superfield Sp(2)-covariant quantization of arbitrary gauge theories to the case of gauge fixing by the generating equations for the gauge functional. We consider possible realizations of the extended antibrackets and show that only one of the realizations is consistent with the extended BRST symmetry transformations in the form of the supertranslations along the Grassmann coordinates of a superspace.

Unitarity conditions for the physicalS-matrix in the blt quantization scheme

We investigate the structure of the space of asymptotic states in an arbitrary, anomaly-free gauge theory in the Batalin-Lavrov-Tyutin quantization scheme. Unitarity conditions for the physical S-matrix are formulated.

Dynamical systems with irreducible constraints in the Sp(2)-covariant formalism

For dynamical system with irreducible first-class constraints and in the framework of an expansion in powers of the fields of the ghost and auxiliary sectors to third order inclusively, solutions of the equations for the generating functionals in the Sp(2)-covariant formalism of generalized canonical quantization are found.

Quantization of two-dimensional gravity with dynamical torsion

We consider two-dimensional gravity with dynamical torsion in the BV (Batalin-Vilkovisky) and BLT (Batalin-Lavrov-Tyutin) formalisms of gauge theory quantization, as well as in the background field method.