A Vector Supersymmetry in Noncommutative U(1) Gauge Theory with the Slavnov Term
Daniel N. Blaschke, Francois Gieres, Olivier Piguet, Manfred Schweda
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 λAA-vertex and thereby explains why Slavnov found a finite model for the same gauge-fixing.
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