Accurate critical exponents from the ε-expansion

Abstract

The ε-expansion of the critical exponents for the N-vector model is now available up to order ε5. Using a summation method based on a Borel transformation and a mapping, we obtain from these ε-expansions new estimates for the critical exponents, quite consistent in two dimensions with the exact values of the Ising model and in three dimensions with the estimates previously obtained from the perturbative expansion at fixed dimension.