Critical behaviour associated with helical order near a Lifshitz point

The wavevector q associated with the helical order varies along the paramagnetic-helical critical line as mod q mod approximately mod p mod beta k , as a Lifshitz point (T=T L , p=0) is approached. Renormalisation group techniques in d=4+ 1 / 2 m- epsilon ( epsilon >0) dimensions are used to calculate the critical exponent beta k , associated with an m-fold Lifshitz point, to second order in epsilon .