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

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.

arXiv comment16 pages; typos fixed, one appendix removed for quick access to the main result; to be published in J. Phys. A

References in corpus (4)

• The Renormalization Group and Singular Perturbations: Multiple-Scales, Boundary Layers and Reductive Perturbation Theory
• Thermal fluctuations and anomalous elasticity of homogeneous nematic elastomers
• Two-loop beta functions of the Sine-Gordon model
• Deformation of a renormalization-group equation applied to infinite-order phase transitions