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

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

2006-04-21

arxiv.org/abs/hep-th/0604154v2

JHEP0605:059,2006

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 3 figures; v2 Acknowledgments added

Scientific paper

10.1088/1126-6708/2006/05/059

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.

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