BFV-BRST analysis of equivalence between noncommutative and ordinary gaugetheories

Constrained hamiltonian structure of noncommutative gauge theory for the ga uge group U(1) is discussed. Constraints are shown to be first class, altho ugh, they do not give an Abelian algebra in terms of Poisson brackets. The related BFV-BRST charge gives a vanishing generalized Poisson bracket by it self due to the associativity of *-product. Equivalence of noncommutative a nd ordinary gauge theories is formulated in generalized phase space by usin g BFV-BRST charge and a solution is obtained. Gauge fixing is discussed. (C ) 2000 Published by Elsevier Science B.V. All rights reserved.