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A renormalization group study of asymmetrically coupled minimal models

Authors
Journal
Physics Letters B
0370-2693
Publisher
Elsevier
Publication Date
Volume
435
Identifiers
DOI: 10.1016/s0370-2693(98)00763-1
Disciplines
  • Physics

Abstract

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.

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