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arXiv · hep-th/0411247

BRST theory without Hamiltonian and Lagrangian

S. L. Lyakhovich·A. A. Sharapov
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Abstract

We consider a generic gauge system, whose physical degrees of freedom are obtained by restriction on a constraint surface followed by factorization with respect to the action of gauge transformations; in so doing, no Hamiltonian structure or action principle is supposed to exist. For such a generic gauge system we construct a consistent BRST formulation, which includes the conventional BV Lagrangian and BFV Hamiltonian schemes as particular cases. If the original manifold carries a weak Poisson structure (a bivector field giving rise to a Poisson bracket on the space of physical observables) the generic gauge system is shown to admit deformation quantization by means of the Kontsevich formality theorem. A sigma-model interpretation of this quantization algorithm is briefly discussed.

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S. L. Lyakhovich, A. A. Sharapov. 2004-12-14. BRST theory without Hamiltonian and Lagrangian. https://doi.org/10.1088/1126-6708%2F2005%2F03%2F011

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