Functional integral approach to multipoint correlators in 2d critical systems

Abstract

We extend a previously developed technique for computing spin-spin critical correlators in the 2d Ising model, to the case of multiple correlations. This enables us to derive Kadanoff-Ceva's formula in a simple and elegant way. We also exploit a doubling procedure in order to evaluate the critical exponent of the polarization operator in the Baxter model. Thus we provide a rigorous proof of the relation between different exponents, in the path-integral framework.

10 pages, LaTex, no figures

References in corpus (2)

• Scattering Theory and Correlation Functions in Statistical Models with a Line of Defect
• 2D Ising Model with a Defect Line

Cited by in corpus (1)

• Critical behavior of the spin correlation function in Ashkin-Teller and Baxter models with a line defect