Abstract
We show that noncommuting electric fields occur naturally in -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.
- Received 30 January 2003
DOI:https://doi.org/10.1103/PhysRevD.67.105002
©2003 American Physical Society