Critical exponents predicted by grouping of Feynman diagrams in phi^4 model

Details Critical exponents predicted by grouping of Feynman diagrams in phi^4 model Critical exponents predicted by grouping of Feynman diagrams in phi^4 model

2001-04-10

arxiv.org/abs/cond-mat/0104183v1

Annalen Phys. 10 (2001) 299-331

Physics

Condensed Matter

Statistical Mechanics

34 pages, 6 figures

Scientific paper

10.1002/1521-3889(200104)10:4<29

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 usual perturbation theory is reorganized by appropriate grouping of Feynman diagrams of phi^4 model with O(n) symmetry. As a result, equations for calculation of the two-point correlation function are obtained which allow to predict possible exact values of critical exponents in two and three dimensions by proving relevant scaling properties of the asymptotic solution at (and near) the criticality. The new values of critical exponents are discussed and compared to the results of numerical simulations and experiments.

Affiliated with

Also associated with

No associations

Rating

Critical exponents predicted by grouping of Feynman diagrams in phi^4 model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Critical exponents predicted by grouping of Feynman diagrams in phi^4 model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical exponents predicted by grouping of Feynman diagrams in phi^4 model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-534441