Phys. Rev. D 67, 105002 (2003) [9 pages]Noncommuting electric fields and algebraic consistency in noncommutative gauge theoriesReceived 30 January 2003; revised 28 February 2003; published 12 May 2003 We show that noncommuting electric fields occur naturally in θ-expanded noncommutative gauge theories. Using this noncommutativity, which is field dependent, and a Hamiltonian generalization of the Seiberg-Witten map, the algebraic consistency in the Lagrangian and Hamiltonian formulations of these theories is established. A comparison of results in different descriptions shows that this generalized map acts as a canonical transformation in the physical subspace only. Finally, we apply the Hamiltonian formulation to derive the gauge symmetries of the action. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.67.105002
DOI:
10.1103/PhysRevD.67.105002
PACS:
11.10.Nx, 11.10.Ef
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