Maps for currents and anomalies in noncommutative gauge theories

2004/04/30 by Rabin Banerjee, Kuldeep Kumar · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1103/physrevd.71.045013

published as Phys. Rev. D 71 (2005) 045013 · 18 pages, LaTeX, title shortened, last section expanded

openalex publication_date 2005/02/24 · arxiv created 2005/04/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive maps relating currents and their divergences in non-Abelian U(N) noncommutative gauge theory with the corresponding expressions in the ordinary (commutative) description. For the U(1) theory, in the slowly-varying-field approximation, these maps are also seen to connect the star-gauge-covariant anomaly in the noncommutative theory with the standard Adler-Bell-Jackiw anomaly in the commutative version. For arbitrary fields, derivative corrections to the maps are explicitly computed up to O(\ensuremathθ²).

Citations

• Deformed QED via Seiberg-Witten Map
• Axial-Vector Vertex in Spinor Electrodynamics

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