Microscopic calculation of critical exponents without the or ϵ expansions

J. C. Le Guillou, Jean Zinn‐Justin

Robert Cordery, Allan Griffin

Robert Cordery

Sergey N. Dorogovtsev

For the system in which correlations between quenched defect positions fall as mod x-x' mod -a (a=4- epsilon - epsilon d >0) the epsilon , epsilon d -expansions of the critical exponents are obtained up to the third order. It is shown that if the task of finding the critical exponents for a system with uncorrelated quenched point defects is solved at order epsilon m of the epsilon -expansion, then the critical exponents for the system considered can be simply obtained up to (m+1)th order of the epsilon , epsilon d expansion. The calculations are carried out completely in the special case of the uniaxial magnet.

J E Green

The epsilon -expansion for the critical exponents of a vector spin glass is calculated to O( epsilon 3 ) ( epsilon =6-d). A general cubic field theory is used.

E. Brézin, J. C. Le Guillou, Jean Zinn‐Justin +1 more