Approximate solutions of exact renormalization group equations

1995/01/12 by Daniel F. Litim, Litim, D., N. Tetradis +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Statistical Mechanics and Entropy #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.hep-th/9501042

openalex publication_date 1995/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study exact renormalization group equations in the framework of the effective average action. We present analytical approximate solutions for the scale dependence of the potential in a variety of models. These solutions display a rich spectrum of physical behaviour such as fixed points governing the universal behaviour near second order phase transitions, critical exponents, first order transitions (some of which are radiatively induced) and tricritical behaviour.

Related

• Approximate solutions in scalar and fermionic theories within the exact renormalization group approach
• The Effective Average Action Beyond First Order
• Direct Calculation of the Critical Effective Potential
• Effective medium approach in the renormalization group theory of phase transitions
• The Exact Renormalization Group