Simon L. Lyakhovich and Alexey A. Sharapov JHEP03(2005)011 doi:10.1088/1126-6708/2005/03/011
BRST theory without hamiltonian and lagrangian
Simon L. Lyakhovich1 and Alexey A. Sharapov1
Show affiliationsWe 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.
- Keywords
- PACS
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11.10.Ef Lagrangian and Hamiltonian approach
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- Dates
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Issue 03 (March 2005)
Received 2 March 2005, accepted for publication 2 March 2005
Published 21 March 2005
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BRST theory without hamiltonian and lagrangian
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