Wilsonian renormalization group analysis of nonrelativistic three-body systems without introducing dimerons

Koji Harada, Hirofumi Kubo, Issei Yoshimoto

研究成果: Contribution to journalArticle査読

1 被引用数 (Scopus)

抄録

Low-energy effective field theory describing a nonrelativistic three-body system is analyzed in the Wilsonian renormalization group method. No effective auxiliary field (dimeron) that corresponds to two-body propagation is introduced. The Efimov effect is expected in the case of an infinite two-body scattering length and is believed to be related to the limit cycle behavior in the three-body renormalization group equations (RGEs). If the one-loop property of the RGEs for the nonrelativistic system without the dimeron field, which is essential in deriving RGEs in the two-body sector, persists in the three-body sector, it appears to prevent the emergence of limit cycle behavior. We explain how the multiloop diagrams contribute in the three-body sector without contradicting the one-loop property of the RGEs and derive the correct RGEs, which lead to the limit cycle behavior. The Efimov parameter, s0, is obtained within a few percent error in the leading orders. We also remark on the correct use of the dimeron formulation. We find rich renormalization group flow structure in the three-body sector. In particular, a novel nontrivial fixed point of the three-body couplings is found when the two-body interactions are absent. We also find, on the two-body nontrivial fixed point, the limit cycle is realized as a loop of finite size in the space of three-body coupling constants when terms with derivatives are included.

本文言語英語
論文番号085006
ジャーナルPhysical Review D - Particles, Fields, Gravitation and Cosmology
87
8
DOI
出版ステータス出版済み - 4 2 2013

All Science Journal Classification (ASJC) codes

  • 核物理学および高エネルギー物理学
  • 物理学および天文学(その他)

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