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 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 $S$-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

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 the Multilevel Field--Antifield Formalism with the Most General Lagrangian Hypergauges

The multilevel field-antifield formalism is constructed in a geometrically covariant way without imposing the unimodularity conditions on the hypergauge functions. Thus the previously given version [1,2] is extended to cover the most general case of Lagrangian surface bases. It is shown that the extra measure factors, required to enter the gauge-independent functional integrals, can be included naturally into the multilevel scheme by modifying the boundary conditions to the quantum master equation.Comment: 9, P.N.Lebedev Physical Institute, I.E.Tamm Theory Departmen