Wilsonian renormalization group and the Lippmann-Schwinger equation with a multitude of cutoff parameters
Nuclear Theory
2018-02-12 v1 High Energy Physics - Phenomenology
Abstract
The Wilsonian renormalization group approach to the Lippmann-Schwinger equation with a multitude of cutoff parameters is introduced. A system of integro-differential equations for the cutoff-dependent potential is obtained. As an illustration, a perturbative solution of these equations with two cutoff parameters for a simple case of an S-wave low-energy potential in the form of a Taylor series in momenta is obtained. The relevance of the obtained results for the effective field theory approach to nucleon-nucleon scattering is discussed.
Keywords
Cite
@article{arxiv.1710.04178,
title = {Wilsonian renormalization group and the Lippmann-Schwinger equation with a multitude of cutoff parameters},
author = {E. Epelbaum and J. Gegelia and Ulf-G. Meißner},
journal= {arXiv preprint arXiv:1710.04178},
year = {2018}
}
Comments
6 pages, no figures