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Perturbation theory for nonlinear equations
A. V. Bratchikov
For a wide class of nonlinear equations a perturbative solution is constructed. This class includes equations of motion of field theories. The solution possesses a graphical repres…
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…
Realization of the Dirac bracket algebras through first class functions and quantization of constrained systems
A. V. Bratchikov
It is shown that a Dirac bracket algebra is isomorphic to the original Poisson bracket algebra of first class functions subject to first class constraints. The isomorphic image of…
Factorization of correlation functions in coset conformal field theories
A. V. Bratchikov
We use the conformal Ward identities to study the structure of correlation functions in coset conformal field theories. For a large class of primary fields of arbitrary g/h theory…
Coset conformal field theories with abelian isotropy groups
A. V. Bratchikov
Conformal field theories based on coset constructions where is a reductive algebra are studied.It is shown that the theories are equivalent to constrained WZNW model…