A generalization of Slavnov-extended non-commutative gauge theories

2007/05/31 by Daniel N. Blaschke, Stefan Hohenegger
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Commutative property #Computer science #Cosmology and Gravitation Theories #Gauge (firearms) #Gauge theory #Generalization #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Space (punctuation) #Supersymmetric gauge theory #hep-th

paper · pdf · doi:10.1088/1126-6708/2007/08/032

published as JHEP0708:032,2007 · 25 pages, no figures; v2 minor corrections

arxiv created 2007/08/07 · openalex publication_date 2007/08/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider a non-commutative U(1) gauge theory in 4 dimensions with a modified Slavnov term which looks similar to the 3-dimensional BF model. In choosing a space-like axial gauge fixing we find a new vector supersymmetry which is used to show that the model is free of UV/IR mixing problems, just as in the previously discussed model in arXiv:hep-th/0604154. Finally, we present generalizations of our proposed model to higher dimensions.

Citations

• String theory and noncommutative geometry
• Perturbative analysis on infrared and ultraviolet aspects of noncommutative QED on R⁴
• Gauge independence of IR singularities in non-commutative QFT — and interpolating gauges
• Renormalization and finiteness of topological BF theories
• Consistent non-commutative quantum gauge theories?
• Divergences in non-commutative gauge theories with the Slavnov term
• PERTURBATION THEORY FOR ANTISYMMETRIC TENSOR FIELDS IN FOUR DIMENSIONS
• Noncommutative Φ4 theory at two loops
• Noncommutative geometry and Matrix theory