The model in the limit (self-avoiding-walks) and logarithmic conformal field theory

2004/09/19 by M. Sadegh Movahed, M. Saadat, Mozafar Saadat +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Theoretical and Computational Physics #cond-mat.dis-nn #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2004.11.038

published as Nucl.Phys. B707 (2005) 405-420 · 13 pages, latex

arxiv created 2004/09/19 · openalex publication_date 2004/12/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider the O(n) theory in the n → 0 limit. We show that the theory is described by logarithmic conformal field theory, and that the correlation functions have logarithmic singularities. The explicit forms of the two-, three- and four-point correlation functions of the scaling fields and the corresponding logarithmic partners are derived.

Citations

• Polymers and percolation in two dimensions and twisted N = 2 supersymmetry
• Logarithmic operators and dynamical extension of the symmetry group in the bosonic SU(2)0 and SUSY SU(2)2 WZNW models
• Logarithmic Yangians in WZW Models
• Field Theory of Spin-Singlet Quantum Hall States
• Singletons and logarithmic CFT in ADS/CFT correspondence
• Scaling Concepts in Polymer Physics
• Effect of random defects on the critical behaviour of Ising models
• BITS AND PIECES IN LOGARITHMIC CONFORMAL FIELD THEORY