Comments on gauge equivalence in noncommutative geometry | Zendy

Tsuguhiko Asakawa | Zendy; Isao Kishimoto | Zendy

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Comments on gauge equivalence in noncommutative geometry

Author(s) -

Tsuguhiko Asakawa,

Isao Kishimoto

Publication year - 1999

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 - 10.1088/1126-6708/1999/11/024

Subject(s) - noncommutative geometry , noncommutative algebraic geometry , mathematical physics , gauge theory , noncommutative quantum field theory , equivalence (formal languages) , physics , mathematics , supersymmetric gauge theory , ambiguity , field (mathematics) , pure mathematics , linguistics , philosophy

We investigate the transformation from ordinary gauge field to noncommutativeone which was introduced by N.Seiberg and E.Witten (hep-th/9908142). It isshown that the general transformation which is determined only by gaugeequivalence has a path dependence in `\theta-space'. This ambiguity isnegligible when we compare the ordinary Dirac-Born-Infeld action with thenoncommutative one in the U(1) case, because of the U(1) nature and slowlyvarying field approximation. However, in general, in the higher derivativeapproximation or in the U(N) case, the ambiguity cannot be neglected due to itsnoncommutative structure. This ambiguity corresponds to the degrees of freedomof field redefinition.Comment: 10 pages, LaTeX2e, note adde

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