Perturbation theory methods applied to critical phenomena
Abstract
Description
Different perturbation theory treatments of the Ginzburg-Landau phase transition model are discussed. This includes a criticism of the perturbative renormalization group (RG) approach and a proposal of a novel method providing critical exponents consistent with the known exact solutions in two dimensions. The new values of critical exponents are discussed and compared to the results of numerical simulations and experiments.
12 pages, 4 figures. As compared to the first version, minor errata have been removed (page 11, comparison with experiment)
12 pages, 4 figures. As compared to the first version, minor errata have been removed (page 11, comparison with experiment)