English

Two-loop RG functions of the massive $\phi^4$ field theory in general dimensions

Statistical Mechanics 2010-03-26 v1

Abstract

Two-loop Feynman integrals of the massive ϕd4\phi^4_d field theory are explicitly obtained for generic space dimensions dd. Corresponding renormalization-group functions are expressed in a compact form in terms of Gauss hypergeometric functions. A number of interesting and useful relations is given for these integrals as well as for several special mathematical functions and constants.

Keywords

Cite

@article{arxiv.0912.0672,
  title  = {Two-loop RG functions of the massive $\phi^4$ field theory in general dimensions},
  author = {M. A. Shpot},
  journal= {arXiv preprint arXiv:0912.0672},
  year   = {2010}
}

Comments

13 pages