A vector supersymmetry in noncommutative U(1) gauge theory with the Slavnov term | Zendy

Daniel N. Blaschke | Zendy; François Gieres | Zendy; Olivier Piguet | Zendy; M. Schweda | Zendy

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A vector supersymmetry in noncommutative U(1) gauge theory with the Slavnov term

Author(s) -

Daniel N. Blaschke,

François Gieres,

Olivier Piguet,

M. Schweda

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/05/059

Subject(s) - physics , supersymmetry , supersymmetric gauge theory , noncommutative geometry , gauge fixing , mathematical physics , gauge theory , vertex (graph theory) , scalar (mathematics) , mathematics , gauge boson , discrete mathematics , graph , geometry

We consider noncommutative U(1) gauge theory with the additional term,involving a scalar field lambda, introduced by Slavnov in order to cure theinfrared problem. we show that this theory, with an appropriate space-likeaxial gauge-fixing, wxhibits a linear vector supersymmetry similar to the onepresent in the 2-dimensional BF model. This vector supersymmetry implies thatall loop corrections are independent of the $\lambda AA$-vertex and therebyexplains why Slavnov found a finite model for the same gauge-fixing.Comment: 18 pages, 3 figures; v2 Acknowledgments adde

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