English

Lie-Group Approach to Perturbative Renormalization-Group Method

patt-sol 2009-10-31 v1 Pattern Formation and Solitons

Abstract

The Lie-group approach to the perturbative renormalization group (RG) method is developed to obtain an asymptotic solutions of both autonomous and non-autonomous ordinary differential equations. Reduction of some partial differetial equations to typical RG equations is also achieved by this approach and a simple recipe for providing RG equations is presented.

Keywords

Cite

@article{arxiv.patt-sol/9905001,
  title  = {Lie-Group Approach to Perturbative Renormalization-Group Method},
  author = {Shin-itiro Goto and Yuji Masutomi and Kazuhiro Nozaki},
  journal= {arXiv preprint arXiv:patt-sol/9905001},
  year   = {2009}
}

Comments

32pages, 2figures