# 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.
Document type :
Journal articles

http://hal.in2p3.fr/in2p3-00026020
Contributor : Sylvie Flores <>
Submitted on : Friday, May 5, 2006 - 8:42:25 AM
Last modification on : Tuesday, November 19, 2019 - 2:47:13 AM

### Citation

D.N. Blaschke, F. Gieres, O. Piguet, M. Schweda. A Vector Supersymmetry in Noncommutative U(1) Gauge Theory with the Slavnov Term. Journal of High Energy Physics, Springer, 2006, 05, pp.059. ⟨10.1088/1126-6708/2006/05/059⟩. ⟨in2p3-00026020⟩

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