A Renormalization Group Study of Asymetrically Coupled Minimal Models

TL;DR

This paper explores the renormalization group flows and fixed points of multiple coupled minimal models, revealing new fixed points and analyzing their stability, critical exponents, and correlation functions.

Contribution

It introduces a comprehensive analysis of fixed points in many coupled minimal models with energy-energy interactions, including new fixed points for N>3.

Findings

Discovery of new fixed points for N>3 models.

Fixed points have uniform coupling magnitudes with mixed signs.

Computed critical exponents and correlation functions.

Abstract

We investigate the renormalization group flows and fixed point structure of many coupled minimal models. The models are coupled two by two by energy-energy couplings. We take the general approach where the bare couplings are all taken to be independent. New fixed points are found for N models (N>3). At these fixed points, the coupling constants all have the same magnitude, but some are positive while others are negative. By analogy with spin lattices, these can be interpreted as non-frustrated configurations with a maximal number of antiferromagnetic links. The stability of the different fixed points is studied. We compute the critical exponents and spin-spin correlation functions between different models. Our classification is shown to be complete.