Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-11-04
Phys.Lett.B638:275-282,2006
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, 3 figures, revtex4, enhanced discussion, mainly of the finite part of quantum corrections, and the shift in the Cher
Scientific paper
10.1016/j.physletb.2006.05.031
In this work, we study the three-dimensional non-Abelian noncommutative supersymmetric Chern-Simons model with the U(N) gauge group. Using a superfield formulation, we prove that, for the pure gauge theory, the Green functions are one-loop finite in any gauge, if the gauge superpotential belongs to the fundamental representation of $u(N)$; this result also holds when matter in the fundamental representation is included. However, the cancellation of both ultraviolet and ultraviolet/infrared infrared divergences only happens in a special gauge if the coupling of the matter is in the adjoint representation. We also look into the finite one-loop quantum corrections to the effective action: in the pure gauge sector the Maxwell together with its corresponding gauge fixing action are generated; in the matter sector, the Chern-Simons term is generated, inducing a shift in the classical Chern-Simons coefficient.
da Silva Adilson Jose
Ferrari A. F.
Gomes Marcelo
Petrov Aleksandr Yu.
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