Nielsen identity and the renormalization group in an Abelian supersymmetric Chern-Simons model

Autor(es)

Quinto, A. G. ; Ferrari, A. F.

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW D; v. 94, n. 8, p. 11-pg., 2016-10-05.

Resumo

In this paper we study the Nielsen identity for the supersymmetric Chern-Simons-matter model in the superfield formalism, in three spacetime dimensions. The Nielsen identity is essential to understand the gauge invariance of the symmetry breaking mechanism, and it is obtained by using the Becchi-RouetStora-Tyutin invariance of the model. We discuss the technical difficulties in applying this identity to the complete effective superpotential, but we show how we can study in detail the gauge independence of one part of the effective superpotential, K-cff. We calculate the renormalization group functions of the model for an arbitrary gauge-fixing parameter, finding them to be independent of the gauge choice. This result can be used to argue that K-cff also does not depend on the gauge parameter. We discuss the possibility of the extension of these results to the complete effective superpotential. (AU)

• Processo FAPESP: 14/24672-0 - Simetrias e a física além do modelo padrão
• Beneficiário: Alysson Fábio Ferrari
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 13/22079-8 - Física de partículas e campos: modelo padrão e suas extensões
• Beneficiário: Adriano Antonio Natale
• Modalidade de apoio: Auxílio à Pesquisa - Temático