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General solution of classical master equation for reducible gauge theories
A. V. Bratchikov
We give the general solution to the classical master equation (S,S)=0 for reducible gauge theories. To this aim, we construct a new coordinate system in the extended configuration…
Explicit construction of the classical BRST charge for nonlinear algebras
A. V. Bratchikov
We give an explicit formula for the Becchi-Rouet-Stora-Tyutin (BRST) charge associated with Poisson superalgebras. To this end, we split the master equation for the BRST charge int…
Deformation quantization of Poisson manifolds in the derivative expansion
A. V. Bratchikov
Deformation quantization of Poisson manifolds is studied within the framework of an expansion in powers of derivatives of Poisson structures. We construct the Lie group associated…
Realizations of observables in Hamiltonian systems with first class constraints
A. V. Bratchikov
In a Hamiltonian system with first class constraints observables can be defined as elements of a quotient Poisson bracket algebra. In the gauge fixing method observables form a quo…
New realizations of observables in dynamical systems with second class constraints
A. V. Bratchikov
In the Dirac bracket approach to dynamical systems with second class constraints observables are represented by elements of a quotient Dirac bracket algebra. We describe families o…
Operator quantization of constrained WZNW theories and coset constructions
A. V. Bratchikov
Using two WZNW theories for Lie algebras and we construct the associative quotient algebra which includes a class of coset primary fields and currents.