English

Critical behavior of n-vector model with quenched randomness

Statistical Mechanics 2007-05-23 v2

Abstract

We consider the Ginzburg-Landau phase transition model with O(n) symmetry (i.e., the n-vector model) which includes a quenched randomness, i.e., a random temperature disorder. We have proven rigorously that within the diagrammatic perturbation theory the quenched randomness does not change the critical exponents at n tending to 0, which is in contrast to the conventional point of view based on the perturbative renormalization group theory.

Keywords

Cite

@article{arxiv.cond-mat/0002149,
  title  = {Critical behavior of n-vector model with quenched randomness},
  author = {J. Kaupuzs},
  journal= {arXiv preprint arXiv:cond-mat/0002149},
  year   = {2007}
}

Comments

6 pages, no figures

R2 v1 2026-07-22T10:00:13.755Z