A Generalization of Slavnov-Extended Non-Commutative Gauge Theories

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.

25 pages, no figures; v2 minor corrections

References in corpus (3)

• Noncommutative Two Dimensional BF Model
• A Vector Supersymmetry in Noncommutative U(1) Gauge Theory with the Slavnov Term
• A Vector Supersymmetry Killing the Infrared Singularity of Gauge Theories in Noncommutative Space

Cited by in corpus (3)

• Translation-invariant models for non-commutative gauge fields
• Gauge theories on quantum spaces
• Noncommutative Two Dimensional BF Model