On stability of the three-dimensional fixed point in a model with three coupling constants from the $\epsilon$ expansion: Three-loop results

Andrei Mudrov; Konstantin Varnashev

doi:10.1103/PhysRevB.57.5704

On stability of the three-dimensional fixed point in a model with three coupling constants from the $\epsilon$ expansion: Three-loop results

Statistical Mechanics 2009-10-31 v1

Authors: Andrei Mudrov , Konstantin Varnashev

View on arXiv ↗ PDF ↗ DOI ↗

Abstract

The structure of the renormalization-group flows in a model with three quartic coupling constants is studied within the $\epsilon$ -expansion method up to three-loop order. Twofold degeneracy of the eigenvalue exponents for the three-dimensionally stable fixed point is observed and the possibility for powers in $\sqrt{\epsilon}$ to appear in the series is investigated. Reliability and effectiveness of the $\epsilon$ -expansion method for the given model is discussed.

Keywords

epsilon expansion renormalization group fixed point coupling constants three-loop critical phenomena

Cite

@article{arxiv.cond-mat/9802064,
  title  = {On stability of the three-dimensional fixed point in a model with three coupling constants from the $\epsilon$ expansion: Three-loop results},
  author = {Andrei Mudrov and Konstantin Varnashev},
  journal= {arXiv preprint arXiv:cond-mat/9802064},
  year   = {2009}
}

Comments

14 pages, LaTeX, no figures. To be published in Phys. Rev. B, V.57 (1998)

On stability of the three-dimensional fixed point in a model with three coupling constants from the $\epsilon$ expansion: Three-loop results

Abstract

Keywords

Cite

Comments

Related papers