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Gell-Mann - Low Function in the Phi^4 Theory

High Energy Physics - Phenomenology 2009-10-31 v1 Condensed Matter High Energy Physics - Theory

Abstract

An algorithm is proposed for the determination of the asymptotics of a sum of a perturbation series from the given values of its coefficients in the strong-coupling limit. When applied to the \Phi^4 theory, the algorithm yields the \beta(g)\propto g^\alpha behavior with \alpha\approx 1 at large g for the Gell-Mann - Low function.

Cite

@article{arxiv.hep-ph/0006066,
  title  = {Gell-Mann - Low Function in the Phi^4 Theory},
  author = {I. M. Suslov},
  journal= {arXiv preprint arXiv:hep-ph/0006066},
  year   = {2009}
}

Comments

5 pages, PDF