The Effectve Potential in Massless Theories

Abstract

The effective potential V in a massless self-coupled scalar theory and massless scalar electrodynamics is considered. Both the MS and Coleman-Weinberg renormalization schemes are examined. The renormalization scheme dependence of V is determined. Upon summing all of the logarithmic contributions to V, it is shown that the implicit and explicit dependence on the renormalization scale μ cancels. In addition, if there is spontaneous symmetry breaking, then the dependence on the background field Φ cancels, leaving V flat but with non-perturbative contributions. The quartic scalar coupling in the Coleman-Weinberg renormalization scheme consequently vanishes.

References in corpus (9)

• Renormalization Group Improvement of the Effective Potential in Massive O(N) Symmetric ${\varphi }^4$ Theory
• Closed-Form Summation of RG-Accessible Logarithmic Contributions to Semileptonic B-Decays and Other Perturbative Processes
• A Unique Determination of the Effective Potential in Terms of Renormalization Group Functions
• Renormalization Scheme Dependence in a QCD Cross Section
• Renormalization Scheme Dependence with Renormalization Group Summation
• The Effective Potential in the Massive ${\varphi }_4^4$ Model
• The renormalization group improved effective potential in massless models
• Summing Radiative Corrections to the Effective Potential
• Cosmic scalar fields with flat potential

Cited by in corpus (2)

• On Scalar Electromagnetism in Phase Space
• The Renormalization Group and the Effective Potential in the Wess-Zumino model