Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-01-17
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, LaTeX, no figures, v4: minor corrections in abstract, Eq. (26), before Eq. (20). Contribution to the Proceedings of t
Scientific paper
A Lagrangian formulation of the BRST quantization of generic gauge theories in general irreducible non-Abelian hypergauges is proposed on the basis of the multilevel Batalin--Tyutin formalism and a special BV--BFV dual description of a reducible gauge model on the symplectic supermanifold $\mathcal{M}_0$ locally parameterized by the antifields for Lagrangian multipliers and the fields of the BV method. The quantization rules are based on a set of nilpotent anticommuting operators $\Delta^\mathcal{M}, {V}^\mathcal{M}, {U}^\mathcal{M}$ defined through both odd and even symplectic structures on a supersymplectic manifold $\mathcal{M}$ locally representable as an odd (co)tangent bundle over $\mathcal{M}_0$ provided by the choice of a flat Fedosov connection and a non-symplectic metric on $\mathcal{M}_0$ compatible with it. The generating functional of Green's functions is constructed in general coordinates on $\mathcal{M}$ with the help of contracting homotopy operators with respect to ${V}^\mathcal{M}$ and ${U}^\mathcal{M}$. We prove the gauge independence of the S-matrix and derive the Ward identity.
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