Seiberg-Witten maps and commutator anomalies in noncommutative electrodynamics
arXiv:hep-th/0505245 · doi:10.1103/PhysRevD.72.085012
Abstract
We exploit the Seiberg-Witten maps for fields and currents in a U(1) gauge theory relating the noncommutative and commutative (usual) descriptions to obtain the O(θ) structure of the commutator anomalies in noncommutative electrodynamics. These commutators involve the (covariant) current-current algebra and the (covariant) current-field algebra. We also establish the compatibility of the anomalous commutators with the noncommutative covariant anomaly through the use of certain consistency conditions derived here.
15 pages, minor changes, version appearing in Phys. Rev. D
References in corpus (1)
Cited by in corpus (8)
- Topics in Noncommutative Geometry Inspired Physics
- AdS-inspired noncommutative gravity on the Moyal plane
- Noncommutativity in (2+1)-dimensions and the Lorentz group
- The Noncommutative Doplicher-Fredenhagen-Roberts-Amorim Space
- Translational-invariant noncommutative gauge theory
- On the algebraic structure of rotationally invariant two-dimensional Hamiltonians on the noncommutative phase space
- Self-dual road to noncommutative gravity with twist: a new analysis
- Aspects of noncommutativity in field theory, strings and membranes