Critical exponents of random Ising-like systems in general dimensions (Q1203316)

Critical exponents of weakly dilute Ising-like systems are computed for noninteger space dimensionalities in the range \(2 \leq d \leq 4\). The calculations are performed in the framework of the Callan-Symanzik field-theoretic approach. Two-loop renormalization group functions are obtained as renormalized perturbation theory series expansions directly in noninteger dimensions. The values of the critical exponents are estimated with the use of the two-variable Borel resummation method.