A Vector Supersymmetry in Noncommutative U(1) Gauge Theory with the Slavnov Term

Abstract

We consider noncommutative U(1) gauge theory with the additional term, involving a scalar field lambda, introduced by Slavnov in order to cure the infrared problem. we show that this theory, with an appropriate space-like axial gauge-fixing, wxhibits a linear vector supersymmetry similar to the one present in the 2-dimensional BF model. This vector supersymmetry implies that all loop corrections are independent of the $\lambda AA$-vertex and thereby explains why Slavnov found a finite model for the same gauge-fixing.

arXiv comment18 pages, 3 figures; v2 Acknowledgments added

References in corpus (10)

• The IR/UV Connection in the Non-Commutative Gauge Theories
• Gauge-fixing independence of IR divergences in non-commutative U(1), perturbative tachyonic instabilities and supersymmetry
• Consistent noncommutative quantum gauge theories?
• Vector supersymmetry in topological field theories
• On the finiteness of a new topological model in D=3
• Gauge Independence of IR singularities in Non-Commutative QFT - and Interpolating Gauges
• Divergences in Non-Commutative Gauge Theories with the Slavnov Term
• Consistent Interactions of the 2+1 Dimensional Noncommutative Chern-Simons Field
• Twisted N=4 SUSY Algebra in Topological Models of Schwarz Type
• Instabilities of noncommutative two dimensional BF model

Cited by in corpus (6)

• Translation-invariant models for non-commutative gauge fields
• One-Loop Calculations for a Translation Invariant Non-Commutative Gauge Model
• Gauge theories on quantum spaces
• A Generalization of Slavnov-Extended Non-Commutative Gauge Theories
• Seiberg-Witten map for the 4D noncommutative BF theory
• A Vector Supersymmetry Killing IR Divergences in Non-Commutative Gauge Theories