Using the Renormalization Group Functions to Uniquely Determine the Effective Potential in Massless Scalar Electrodynamics

2007/06/28 by Farrukh Chishtie, Chishtie, F. A., T. Hanif +3
Physics and Astronomy · #Atomic and Molecular Physics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum and Classical Electrodynamics

paper · pdf · doi:10.48550/arxiv.0706.4132

openalex publication_date 2007/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It has been demonstrated that the effective potential V(ϕ) in a massless O(N) λϕ⁴₄ model is determined completely by the renormalization group functions provided the renormalization condition (d⁴V)/(d ϕ⁴)|_ϕ=μ=λis used. This is shown to also hold in massless scalar electrodynamics. By employing a variant of the method of characteristics, the sums contributing to the leading-log, next-to-leading-log etc. contributions to V(ϕ) can be evaluated.

Related

• Renormalization Group Approach to Scalar Theory
• Renormalization group analysis of the singularity structure of effective potentials
• Renormalization group and effective potential: a simple non-perturbative approach
• Renormalization conditions and the effective potential of the massless phi⁴ theory
• The Effective Potential in Non-Conformal Gauge Theories