Seiberg-Witten maps and commutator anomalies in noncommutative electrodynamics

Journal Article · Sat Oct 15 04:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.085012· OSTI ID:20713766

Banerjee, Rabin; Kumar, Kuldeep ^[1]

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1. S.N. Bose National Centre for Basic Sciences, JD Block, Sector 3, Salt Lake, Kolkata 700098 (India)

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({theta}) 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.

• OSTI ID: 20713766
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC CURRENTS
COMMUTATION RELATIONS
COMMUTATORS
CURRENT ALGEBRA
FIELD ALGEBRA
GAUGE INVARIANCE
QUANTUM ELECTRODYNAMICS
U-1 GROUPS
UNITARY SYMMETRY