Scaling at low temperatures in the Ginzburg-Landau model

Overview & Synopsis

The n-component Landau-Ginzburg model with short range forces is examined for dimensionalities d less than two. For d, n such that Tc = 0, its solution reduces to the solution of the continuous Heisenberg-like model. The critical exponents and corresponding scaling laws are found for the Tc = 0 transitions and in particular η = 2 — d.