English

Flow equation of functional renormalization group for three-body scattering problems

Quantum Gases 2013-11-05 v2 High Energy Physics - Phenomenology Nuclear Theory

Abstract

Functional renormalization group (FRG) is applied to the three-body scattering problem in the two-component fermionic system with an attractive contact interaction. We establish a new and correct flow equation on the basis of FRG and show that our flow equation is consistent with integral equations obtained from the Dyson-Schwinger equation. In particular, the relation of our flow equation and the Skornyakov and Ter-Martirosyan equation for the atom-dimer scattering is made clear.

Keywords

Cite

@article{arxiv.1304.3286,
  title  = {Flow equation of functional renormalization group for three-body scattering problems},
  author = {Yuya Tanizaki},
  journal= {arXiv preprint arXiv:1304.3286},
  year   = {2013}
}

Comments

13 pages, 13 figures

R2 v1 2026-06-21T23:57:58.545Z