21-26 July 2014
Renold Building
Europe/London timezone
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Renormalization Group improvement of the Effective Superpotential and Dynamical Breaking of Symmetry in a Supersymmetric Chern-Simons Theory

Presented by Mr. Andres QUINTO on 25 Jul 2014 from 15:10 to 15:30
Type: Formal SUSY and Strings
Track: Formal SUSY and Strings


In this work, we investigate the consequences of the Renormalization Group Equation (RGE) in the determination of the effective superpotential in a supersymmetric model, and the impacts of this improved calculation in the dynamical symmetry breaking that happens in our model. We consider an N = 1 supersymmetric theory including an Abelian Chern-Simons supereld coupled to N scalar superelds in a (2+1) dimensional space-time. The classical Lagrangian presents scale invariance, which is broken by radiative corrections to the effective superpotential. We calculate perturbative corrections, up to two-loops,to the one- and two-point vertex functions, using dimensional regularization and minimal subtraction scheme. With the knowledge of the renormalization group functions, the RGE can be used to calculate an improved version of the effective superpotential, from which the dynamical symmetry breaking can be studied, and the results compared with those obtained from the unimproved effective superpotential. We show that in the supersymmetric model, the effects of the consideration of the RGE are not so dramatic as it happens in the non-supersymmetric case, but it still allows some improvement over the standard calculation.


Location: Renold
Room: E1

Primary authors

  • Mr. Andres QUINTO Universidade Federal do ABC, Rua Santa Adélia, 166, 09210-170, Santo André, SP, Brazil
  • Dr. Alysson FERRARI Universidade Federal do ABC, Rua Santa Adélia, 166, 09210-170, Santo André, SP, Brazil
  • Dr. Andre LEHUM Escola de Ciências e Tecnología, Universidade Federal do Rio Grande do Norte, Caixa Postal 1524, 59072-970, Natal, RN, Brazi