On the Critical Dynamics in Bose Systems and the Time-Dependent Ginzburg-Landau Model

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Abstract
An extended expression of the dynamic self-energy of one-particle Green function is obtained up to order 1/m in m-component Bose systems, by means of a complex unperturbed propagator. As applications of it, dynamic critical exponents of the TDGL model as well as of a Bose system are evaluated to order 1/m, for both short-range and long-range interactions. These confirm the previous results of the TDGL model and of the Bose system for short-range interactions. An effective interaction Veff(p, iωn) is obtained to order 1/m, which is useful for discussion on anomalies of transport coefficients near the λ-transition.

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