Computation of the critical exponents of percolation

Abstract

Computes the critical indices of percolation, using a method in which the integrals are computed at fixed dimension, at the order of two loops. Following this method the authors obtain the series, giving the critical exponents, expanded with respect to the coupling constant, while in the epsilon -expansion method the expansion of the series is performed with respect to the coupling constant and to the number of dimensions D. Thus the authors think that they have obtained better control of the position of the fixed point at a dimension not too near to size: they are also able to improve the numerical values of the exponents at D=3.