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Article overview
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BRST theory without Hamiltonian and Lagrangian | S.L. Lyakhovich
; A.A. Sharapov
; | Date: |
26 Nov 2004 | Journal: | JHEP 0503 (2005) 011 | Subject: | High Energy Physics - Theory; Quantum Algebra | hep-th math.QA | 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. | Source: | arXiv, hep-th/0411247 | Services: | Forum | Review | PDF | Favorites |
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