Higher-order corrections to theε12expansion of the critical behavior of the random Ising system

Abstract

The stability of the random fixed point of the disordered Ising system is investigated within the framework of Callan-Symanzik equations and renormalized perturbation theory. The critical exponents are obtained to one higher order, for example, $\nu =\frac{1}{2}+\frac{1}{4}{\left(\frac{6}{53}\epsilon \right)}^{\frac{1}{2}}+\frac{1}{4}\left(\frac{535-765\xi \mathrm{}\left(3\right)\mathrm{}}{5618}\right)\epsilon$