Feynman - graph calculation of the (0,l) critical exponents to orderε2

Abstract

It is shown that the critical indices corresponding to (0, $l$ perturbations can be calculated by a Feynman-diagram method. At order ${\epsilon }^2$, the results are consistent with the special cases $l=1,2, \mathrm{and} 4$ obtained previously. There is also general agreement to order $\epsilon$ with the exponents calculated from Wilson's recurrence relation.