P. M. Lavrov

Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space

Abstract In this work we develop the BRST approach to Lagrangian construction for the massive integer higher spin fields in an arbitrary dimensional AdS space. The theory is formulated in terms of auxiliary Fock space. Closed nonlinear symmetry algebra of higher spin bosonic theory in AdS space is found and a method of deriving the BRST operator for such an algebra is proposed. A general procedure of Lagrangian construction, describing the dynamics of a bosonic field with any spin is given on the base of the BRST operator. No off-shell constraints on the fields and the gauge parameters are used from the very beginning. As an example of general procedure, we derive the Lagrangians for massive bosonic fields with spin 0, 1 and 2, containing the total set of auxiliary fields and gauge symmetries.

Superfield quantization of general gauge theories

Abstract A superfield version on superspace ( x μ , θ a ) is proposed for the Sp (2)-covariant Lagrangian quantization of general gauge theories. The BRST and antiBRST transformations are realized on superfields as supertranslations in the θ a -directions. A new (geometric) interpretation of the Ward identities in the quantum gauge theory is given.A superfield version on superspace

SUPERFIELD FORMULATION OF THE LAGRANGIAN BRST QUANTIZATION METHOD

(x^\mu,\theta^a)

AN Sp(2) COVARIANT FORMALISM OF A GENERALIZED CANONICAL QUANTIZATION WITH SECOND-CLASS CONSTRAINTS

is proposed for the

FEDOSOV SUPERMANIFOLDS: BASIC PROPERTIES AND THE DIFFERENCE IN EVEN AND ODD CASES

Sp(2)

ON MANIFOLDS ADMITTING THE CONSISTENT LAGRANGIAN FORMULATION FOR HIGHER SPIN FIELDS

-- covariant Lagrangian quantization of general gauge theories. The BRST- and antiBRST- transformations are realized on superfields as supertranslations in the

Superfield lagrangian quantization with extended BRST symmetry

\theta^a

MODIFIED TRIPLECTIC QUANTIZATION IN GENERAL COORDINATES

-- directions. A new (geometric) interpretation of the Ward identities in the quantum gauge theory is given.

Poisson structures in BRST–antiBRST invariant Lagrangian formalism

Lagrangian quantization rules for general gauge theories are proposed on a basis of a superfield formulation of the standard BRST symmetry. Independence of the S-matrix on a choice of the gauge is proved. The Ward identities in terms of superfields are derived.Lagrangian quantization rules for general gauge theories are proposed on a basis of a superfield formulation of the standard BRST symmetry. Independence of the S-matrix on a choice of the gauge is proved. The Ward identities in terms of superfields are derived.

A MODIFIED SCHEME OF TRIPLECTIC QUANTIZATION

An Sp(2)-covariant version of the generalized canonical quantization method, which we proposed earlier (Ref. 5), is extended to the case of dynamical systems with both first- and second-class constraints.