Noncommuting Electric Fields and Algebraic Consistency in Noncommutative Gauge theories

Abstract

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.

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

References in corpus (7)

• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• Testing Non-commutative QED, Constructing Non-commutative MHD
• Superluminal Noncommutative Photons
• Noncommutative Electrodynamics
• Hamiltonian formulation of nonAbelian noncommutative gauge theories
• Hamiltonian formulation of Noncommutative D3--Brane

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• Gauge Generators, Transformations and Identities on a Noncommutative Space
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• Gauge Symmetries on $\theta$-Deformed Spaces
• Canonical analysis of space-time noncommutative theories and gauge symmetries
• The Hamiltonian BRST quantization of a noncommutative nonabelian gauge theory and its Seiberg-Witten map
• Theories on noncommutative spaces and deformed symmetries
• Aspects of noncommutativity in field theory, strings and membranes