The O(n) Model in the $n\to 0$ Limit (self-avoiding-walks) and Logarithmic Conformal Field Theory

Abstract

We consider the O(n) theory in the $n\to 0$ 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.

13 pages, latex

References in corpus (1)

• Operator Product Expansion and Zero Mode Structure in Logarithmic CFT

Cited by in corpus (8)

• The critical O(N) CFT: Methods and conformal data
• The ABC (in any D) of Logarithmic CFT
• Logarithmic observables in critical percolation
• String Quantum Gravity, Lorentz-Invariance Violation and Gamma-Ray Astronomy
• Quantum-Gravity Induced Lorentz Violation and Dynamical Mass Generation
• The tricritical Ising CFT and conformal bootstrap
• Stringy Space-Time Foam and High-Energy Cosmic Photons
• A Novel Foamy Origin for Singlet Fermion Masses