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Correlation functions for the 2D random bonds Potts Models

1995/09/25 by Vladimir Dotsenko, Vladimir S. Dotsenko, Dotsenko, Vladimir +4
Mathematics · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions #Random Matrices and Applications #Theoretical and Computational Physics #cond-mat #hep-lat #hep-th

paper · pdf · doi:10.48550/arxiv.cond-mat/9509149

To appear in the Proccedings of the Trieste Conference on Recent Developments in Statistical Mechanics and Quantum Field Theory, April 1995, 9 pages, latex, no figures, espcrc2.sty

arxiv created 1995/09/25 · openalex publication_date 1995/09/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the spin-spin and energy-energy correlation functions for the 2D Ising and 3-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation group approach of the perturbation series around the conformal field theories representing the pure models. For the Ising model, we obtain a crossover in the amplitude for the correlation functions which doesn't change the critical exponent. For the 3-state Potts model, we found a shift in the critical exponent produced by randomness. A comparison with numerical data is discussed briefly.

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