Numerical study of renormalization group flows of nuclear effective field theory without pions on a lattice

Koji Harada, Satoru Sasabe, Masanobu Yahiro

研究成果: Contribution to journalArticle査読

2 被引用数 (Scopus)

抄録

We formulate the next-to-leading-order nuclear effective field theory without pions in the two-nucleon sector on a spatial lattice and investigate nonperturbative renormalization group flows in the strong-coupling region by diagonalizing the Hamiltonian numerically. The cutoff (proportional to the inverse of the lattice constant) dependence of the coupling constants is obtained by changing the lattice constant with the binding energy and the asymptotic normalization constant for the ground state being fixed. We argue that the critical line can be obtained by looking at the finite-size dependence of the ground-state energy. We determine the relevant operator and locate the nontrivial fixed point, as well as the physical flow line corresponding to the deuteron in the two-dimensional plane of dimensionless coupling constants. It turns out that the location of the nontrivial fixed point is very close to the one obtained by the corresponding analytic calculation, but the relevant operator is quite different.

本文言語英語
論文番号024004
ジャーナルPhysical Review C
94
2
DOI
出版ステータス出版済み - 8 30 2016

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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