An asymptotic formula for marginal running coupling constants and universality of loglog corrections

TL;DR

This paper derives an asymptotic formula for marginal running coupling constants near an infrared fixed point, highlighting its significance in understanding universal loglog corrections in physical quantities.

Contribution

It introduces a new asymptotic formula for two-loop beta functions of marginal couplings, advancing the analysis of their behavior near fixed points.

Findings

Provides an explicit asymptotic expression for marginal couplings

Clarifies the role of loglog corrections in physical observables

Enhances understanding of universality in quantum field theories

Abstract

Given a two-loop beta function for multiple marginal coupling constants, we derive an asymptotic formula for the running coupling constants driven to an infrared fixed point. It can play an important role in universal loglog corrections to physical quantities.