English

Five-loop numerical evaluation of critical exponents of the $\varphi^4$ theory

Statistical Mechanics 2015-06-17 v1 High Energy Physics - Theory

Abstract

We present a new approach to calculation of anomalous dimensions in the framework of ϵ\epsilon-expansion and renormalization group method. This approach allows one to skip the calculation of renormalization constants and express anomalous dimensions in terms of renormalized diagrams, which are presented in a form suitable for numerical calculations. This approach can be easily automated and extended to a wide range of models. The power of this approach is illustrated on 5 loop calculations of beta-function and anomalous dimensions in ϕ4\phi^4 model.

Keywords

Cite

@article{arxiv.1309.5621,
  title  = {Five-loop numerical evaluation of critical exponents of the $\varphi^4$ theory},
  author = {L. Ts. Adzhemyan and M. V. Kompaniets},
  journal= {arXiv preprint arXiv:1309.5621},
  year   = {2015}
}

Comments

8 pages, 5 figures. To be submitted to the proceedings of ACAT 2013