BFV-BRST analysis of equivalence between noncommutative and ordinary gauge theories

Details BFV-BRST analysis of equivalence between noncommutative and ordinary gauge theories BFV-BRST analysis of equivalence between noncommutative and ordinary gauge theories

2000-01-31

arxiv.org/abs/hep-th/0001218v2

Phys.Lett. B481 (2000) 408

Physics

High Energy Physics

High Energy Physics - Theory

Minor changes, ref. added, to be pub. PLB

Scientific paper

10.1016/S0370-2693(00)00478-0

Constrained hamiltonian structure of noncommutative gauge theory for the gauge group U(1) is discussed. Constraints are shown to be first class, although, they do not give an Abelian algebra in terms of Poisson brackets. The related BFV-BRST charge gives a vanishing generalized Poisson bracket by itself due to the associativity of *-product. Equivalence of noncommutative and ordinary gauge theories is formulated in generalized phase space by using BFV-BRST charge and a solution is obtained. Gauge fixing is discussed.

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