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Coupling of fermions to the three-dimensional noncommutative CP/sup N-1/ model : minimal and supersymmetric extensions

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Coupling of fermions to the three-dimensional noncommutative CP/sup N-1/ model : minimal and supersymmetric extensions

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Título Coupling of fermions to the three-dimensional noncommutative CP/sup N-1/ model : minimal and supersymmetric extensions
Autor Asano, E.A.
Gomes, Marcelo
Girotti, Horacio Oscar
Silva, Adilson J. da
Rodrigues, A.G.
Petrov, Albert Yu.
Abstract We consider the coupling of fermions to the three-dimensional noncommutative CPN21 model. In the case of minimal coupling, although the infrared behavior of the gauge sector is improved, there are dangerous ~quadratic! infrared divergences in the corrections to the two-point vertex function of the scalar field. However, using superfield techniques we prove that the supersymmetric version of this model with ‘‘antisymmetrized’’ coupling of the Lagrange multiplier field is renormalizable up to the first order in 1/N. The auxiliary spinor gauge field acquires a nontrivial ~nonlocal! dynamics with generation of Maxwell and Chern-Simons noncommutative terms in the effective action. Up to 1/N order all divergences are only logarithmic so that the model is free from nonintegrable infrared singularities.
Contido em Physical review. D, Particles, fields, gravitation, and cosmology. College Park. Vol. 69, no. 10 (May 2004), 105012, 11p.
Assunto Equacoes de maxwell
Fermions
Fisica de particulas elementares e campos
Renormalizacao
Supersimetrias
Teoria de Chern-Simons-Witten
Origem Estrangeiro
Tipo Artigo de periódico
URI http://hdl.handle.net/10183/104023
Arquivos Descrição Formato
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