Noncommuting Electric Fields and Algebraic Consistency in Noncommutative Gauge theories

Details Noncommuting Electric Fields and Algebraic Consistency in Noncommutative Gauge theories Noncommuting Electric Fields and Algebraic Consistency in Noncommutative Gauge theories

2002-10-28

arxiv.org/abs/hep-th/0210259v3

Phys.Rev. D67 (2003) 105002

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTex, considerably expanded version with a new section on `Gauge symmetries'; To appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.67.105002

We show that noncommuting electric fields occur naturally in $\theta$-expanded noncommutative gauge theories. Using this noncommutativity, which is field dependent, and a hamiltonian generalisation 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 generalised map acts as canonical transformation in the physical subspace only. Finally, we apply the hamiltonian formulation to derive the gauge symmetries of the action.

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