A renormalization method for three-boson system with a triboson field
Nuclear Theory
2017-05-02 v1 High Energy Physics - Phenomenology
Abstract
A renormalization method that introduces an auxiliary field to represent a three-body bound state is studied in a three-boson system with a triboson field. A cutoff dependence in the three-boson system emerges as a limit cycle, and the cyclic singularity is renormalized by employing two methods: a standard method and the auxiliary field method. For each method, different sets of diagrams are involved for renormalization, and thus we numerically study three quantities: counter term for renormalization, scattering length of -wave boson-diboson scattering, and normalized wavefunction. We confirm that the two methods would lead to the same result.
Cite
@article{arxiv.1701.01200,
title = {A renormalization method for three-boson system with a triboson field},
author = {Shung-Ichi Ando},
journal= {arXiv preprint arXiv:1701.01200},
year = {2017}
}
Comments
15 pages, 12 figures, to appear in JKPS