Vi. Fernandez et Cm. Naon, FUNCTIONAL INTEGRAL APPROACH TO MULTIPOINT CORRELATORS IN 2-DIMENSIONAL CRITICAL SYSTEMS, Journal of physics. A, mathematical and general, 30(6), 1997, pp. 1843-1848
We extend a previously developed technique for computing spin-spin cri
tical correlators in the two-dimensional (2D) Ising model, to the case
of multiple correlations. This enables us to derive Kadanoff-Ceva's f
ormula in a simple and elegant way. We also exploit a doubling procedu
re in order to evaluate the critical exponent of the polarization oper
ator in the Baxter model. Thus we provide a rigorous proof of the rela
tion between different exponents, in the path-integral framework.