Functional integral approach to multipoint correlators in two-dimensional critical systems

V FERNÁNDEZ; C NAÓN

JOURNAL OF PHYSICS. A - MATHEMATICAL AND GENERAL

IOP Publishing Ltd

Año: 1997 vol. 30 p. 1843 - 1848

0305-4470

We extend a previously developed technique for computing spin–spin criticalcorrelators in the two-dimensional (2D) Ising model, to the case of multiple correlations. Thisenables us to derive Kadanoff–Ceva’s formula in a simple and elegant way. We also exploit adoubling procedure in order to evaluate the critical exponent of the polarization operator in theBaxter model. Thus we provide a rigorous proof of the relation between different exponents, inthe path-integral framework.