218 research outputs found
On the equivalence between the unified and standard versions of constraint dynamics
The structure of physical operators and states of the unified constraint
dynamics is studied. The genuine second--class constraints encoded are shown to
be the superselection operators. The unified constrained dynamics is
established to be physically--equivalent to the standard BFV--formalism with
constraints split.Comment: 10 pages, FIAN/TD/12--9
On the Perturbative Equivalence Between the Hamiltonian and Lagrangian Quantizations
The Hamiltonian (BFV) and Lagrangian (BV) quantization schemes are proved to
be equivalent perturbatively to each other. It is shown in particular that the
quantum master equation being treated perturbatively possesses a local formal
solution.Comment: 14 pages, LaTeX, no figure
On possible generalizations of field--antifield formalism
A generalized version is proposed for the field-antifield formalism. The
antibracket operation is defined in arbitrary field-antifield coordinates. The
antisymplectic definitions are given for first- and second-class constraints.
In the case of second-class constraints the Dirac's antibracket operation is
defined. The quantum master equation as well as the hypergauge fixing procedure
are formulated in a coordinate-invariant way. The general hypergauge functions
are shown to be antisymplectic first-class constraints whose Jacobian matrix
determinant is constant on the constraint surface. The BRST-type generalized
transformations are defined and the functional integral is shown to be
independent of the hypergauge variations admitted. In the case of reduced phase
space the Dirac's antibrackets are used instead of the ordinary ones
On the multilevel generalization of the field--antifield formalism
The multilevel geometrically--covariant generalization of the
field--antifield BV--formalism is suggested. The structure of quantum
generating equations and hypergauge conditions is studied in details. The
multilevel formalism is established to be physically--equivalent to the
standard BV--version.Comment: 10 pages, FIAN/TD/13--9
On the Equivalence of Dual Theories
We discuss the equivalence of two dual scalar field theories in 2 dimensions.
The models are derived though the elimination of different fields in the same
Freedman--Townsend model. It is shown that tree -matrices of these models do
not coincide. The 2-loop counterterms are calculated. It turns out that while
one of these models is single-charged, the other theory is multi-charged. Thus
the dual models considered are non-equivalent on classical and quantum levels.
It indicates the possibility of the anomaly leading to non-equivalence of dual
models.Comment: 14 pages, LaTeX; 2 figures, encapsulated PostScrip
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