Non-commutative U(1) gauge theory on with oscillator term and BRST symmetry

2007/05/31 by Daniel N. Blaschke, Harald Grosse, M. Schweda +1 · 3 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:10.1209/0295-5075/79/61002

published as Europhys.Lett.79:61002,2007 · 7 pages; v2 revised, v3 corrected eq. (14) and related text, references updated

openalex publication_date 2007/08/07 · arxiv created 2008/01/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

Inspired by the renormalizability of the non-commutative Φ 4 model with added oscillator term, we formulate a non-commutative gauge theory, where the oscillator enters as a gauge fixing term in a BRST invariant manner. All propagators turn out to be essentially given by the Mehler kernel and the bilinear part of the action is invariant under the Langmann-Szabo duality. The model is a promising candidate for a renormalizable non-commutative U (1) gauge theory.

Citations

• Infrared regularization of non-Abelian gauge theories

Cited by

• Loop calculations for the non-commutative U ⋆(1) gauge field model with oscillator term
• Quantum corrections for translation-invariant renormalizable non-commutative ϕ4theory
• Noncommutative U(1) gauge theory from a worldline perspective

Related

• Extended BRST formulation of a non-commutative U(1) gauge model
• Translation-invariant models for non-commutative gauge fields
• Non-Commutative Abelian Higgs model
• Gauge invariant reformulation and BRST quantization of the nonconfining Schwinger model
• Lorentz invariant nonabelian gauge theory on noncommutative space-time and BRST symmetry