Randomly coupled minimal models

Abstract

Using 1-loop renormalisation group equations, we analyze the effect of randomness on multi-critical unitary minimal conformal models. We study the case of two randomly coupled $M_p$ models and found that they flow in two decoupled $M_{p-1}$ models, in the infra-red limit. This result is then extend to the case with $M$ randomly coupled $M_p$ models, which will flow toward $M$ decoupled $M_{p-1}$.

12 pages, latex, 1 eps figures; new results added

References in corpus (4)

• Renormalisation group calculation of correlation functions for the 2D random bond Ising and Potts models
• Critical behaviour of the Random--Bond Ashkin--Teller Model, a Monte-Carlo study
• Spin--spin critical point correlation functions for the 2D random bond Ising and Potts models
• Critical RSOS Models in External Fields

Cited by in corpus (2)

• Coupled minimal models revisited II: Constraints from permutation symmetry
• Random Defect Lines in Conformal Minimal Models