Renormalization group in 2 + ∈ dimensions and ∈ → 2: A simple model analysis

Nobuaki Nagao, Hiroshi Suzuki

研究成果: Contribution to journalArticle査読

抄録

Using a simple solvable model, i.e., the Higgs-Yukawa system with an infinite number of flavors, we explicitly demonstrate how a dimensional continuation of the β function in the two dimensional MS scheme fails to reproduce the correct behavior of the β function in four dimensions. The mapping between coupling constants in the two dimensional MS scheme and a conventional scheme in the cutoff regularization, in which the dimensional continuation of the β function is smooth, becomes singular when the dimension of spacetime approaches four. The existence of a non-trivial fixed point in 2 + ∈ dimensions continued to four dimensions (∈→2) in the two dimensional MS scheme is spurious and asymptotic safety cannot be imposed on this model in four dimensions.

本文言語英語
ページ(範囲)985-993
ページ数9
ジャーナルProgress of Theoretical Physics
95
5
DOI
出版ステータス出版済み - 5 1996
外部発表はい

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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