Critical Dynamics in Bose Systems

Abstract

Dynamic scaling laws in Bose systems with an m-component field are investigated for large m, together with explicit evaluations of dynamic critical exponents. In a previous paper,!> a similar problem was studied up to e2 by means of e-expansion techniques, where e=4-d and d denotes the dimensionality of the system. In this note, we report briefly new results obtained for a complementary regime, namely for large m and arbitrary d (2<d<4). Our Hamiltonian per unit volume is given by