Consistent non-commutative quantum gauge theories?

2003/04/16 by A. A. Slavnov · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #hep-th

paper · pdf · doi:10.1016/s0370-2693(03)00726-3

published as Phys.Lett. B565 (2003) 246-252 · 10 pages, no figures, LaTex

arxiv created 2003/04/16 · openalex publication_date 2003/06/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02

Abstract

A new non-commutative model invariant with respect to U(1) gauge group is proposed. The model is free of nonintegrable infrared singularities. Its commutative classical limit describes a free scalar field. Generalization to U(N) models is also considered.

Citations

• Ward identities in gauge theories
• PERTURBATIVE QUANTUM GAUGE FIELDS ON THE NONCOMMUTATIVE TORUS
• Ultra-violet finiteness in noncommutative supersymmetric theories
• Chiral fermions from lattice boundaries

Cited by

• Gauge independence of IR singularities in non-commutative QFT — and interpolating gauges
• Divergences in non-commutative gauge theories with the Slavnov term