Non-perturbative fixed points and renormalization group improved effective potential

Abstract

The stability conditions of a renormalization group improved effective potential have been discussed in the case of scalar QED and QCD with a colorless scalar. We calculate the same potential in these models assuming the existence of non-perturbative fixed points associated to a conformal phase. In the case of scalar QED the barrier of instability found previously is barely displaced as we approach the fixed point, and in the case of QCD with a colorless scalar not only the barrier is changed but the local minimum of the potential is also changed.

6 pages, 8 figures, References added. Matching the journal version

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Cited by in corpus (10)

• Conformal Standard Model with an extended scalar sector
• Renormalization group improvement of the effective potential in six dimensions
• Renormalization Group Improvement of the Superpotential for the N=2 Chern-Simons-matter model
• Renormalization group improvement of the effective potential in a (1+1) dimensional Gross-Neveu model
• $R_{e^{+}{e}^{-}}$ and an effective QCD charge
• Perturbative aspects of mass-deformed N=3 Chern-Simons-matter theory
• Effective potential and dynamical symmetry breaking up to five loops in a massless abelian Higgs model
• On-shell supersymmetry breaking in the Abelian Chern-Simons-matter model in three dimensions of spacetime
• Improved effective potential of Gildener-Weinberg models
• Renormalization Group Improvement and Dynamical Breaking of Symmetry in a Supersymmetric Chern-Simons-matter Model