Anomalous dimensions determine the power counting: Wilsonian RG analysis of nuclear EFT

Koji Harada, Hirofumi Kubo

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)

Abstract

The Legendre flow equation, a version of exact Wilsonian renormalization group (WRG) equation, is employed to consider the power counting issues in nuclear effective field theory. A WRG approach is an ideal framework because it is nonperturbative and does not require any prescribed power counting rule. The power counting is determined systematically from the scaling dimensions of the operators at the nontrivial fixed point. The phase structure is emphasized and the inverse of the scattering length, which is identified as a relevant coupling, is shown to play a role of the order parameter. The relations to the work done by Birse, McGovern, and Richardson and to the Kaplan-Savage-Wise scheme are explained.

Original languageEnglish
Pages (from-to)304-329
Number of pages26
JournalNuclear Physics B
Volume758
Issue number3
DOIs
Publication statusPublished - Dec 11 2006

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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