ANALYSIS OF ISING-MODEL CRITICAL EXPONENTS FROM HIGH-TEMPERATURE SERIES EXPANSION

High temperature series expansion for the critical exponents of the Ising model are reanalyzed using a modified ratio method. The analysis shows that a minor modification of the ratio method yields for all lattices a value, for the exponent gamma in three dimensions, close to 1. 245, therefore lower than the quoted value 1. 250, and much closer to the renormalization group (R. G. ) value 1. 241. The exponent is analyzed in two ways: in one method gamma is estimated directly while in the other one T//c, is calculated first. With these new values of T//c, the exponent alpha is recalculated and found to be very close to the R. G. value 0. 110. The value of v is not modified (0. 638) and is therefore still a problem for hyperscaling, and is in disagreement with the R. G. value (0. 630).