A Non-Perturbative Approach to the Random-Bond Ising Model

Abstract

We study the N -> 0 limit of the O(N) Gross-Neveu model in the framework of the massless form-factor approach. This model is related to the continuum limit of the Ising model with random bonds via the replica method. We discuss how this method may be useful in calculating correlation functions of physical operators. The identification of non-perturbative fixed points of the O(N) Gross-Neveu model is pursued by its mapping to a WZW model.

17 pages LaTeX, 1 PostScript figure included using psfig.sty

References in corpus (4)

• Form factors approach to current correlations in one dimensional systems with impurities
• U(N) Matrix Difference Equations and a Nested Bethe Ansatz
• Form-factors computation of Friedel oscillations in Luttinger liquids
• Form factors for principal chiral field model with Wess-Zumino-Novikov-Witten term

Cited by in corpus (8)

• Universal dependence on disorder of 2D randomly diluted and random-bond +-J Ising models
• One-point functions in massive integrable QFT with boundaries
• Strong disorder fixed points in the two-dimensional random-bond Ising model
• The Exact S-Matrix for an osp(2|2) Disordered System
• Integrable quantum field theories with OSP(m/2n) symmetries
• Quenched bond randomness in marginal and non-marginal Ising spin models in 2D
• Critical behavior of the pure and random-bond two-dimensional triangular Ising ferromagnet
• A study of integrable form factors in massless relativistic AdS_3