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

Daniel N. Blaschke·Francois Gieres·Olivier Piguet·Manfred Schweda
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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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Daniel N. Blaschke, Francois Gieres, Olivier Piguet, Manfred Schweda. 2006-05-12. A Vector Supersymmetry in Noncommutative U(1) Gauge Theory with the Slavnov Term. https://doi.org/10.1088/1126-6708%2F2006%2F05%2F059

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