Bound states in Functional Renormalization Group
High Energy Physics - Theory
2019-10-23 v2 High Energy Physics - Phenomenology
Abstract
Equivalence criteria are established for an effective Yukawa-type theory of composite fields representing two-particle fermion bound states with the original "microscopic" theory of interacting fermions based on the spectral decomposition of the 2-to-2 fermion scattering amplitude. Functional renormalisation group equations of the effective theory are derived exploiting relations expressing the equivalence. The effect of truncating the spectral decomposition is investigated quantitatively on the example of the non-relativistic bound states of two oppositely charged fermi particles.
Cite
@article{arxiv.1811.09418,
title = {Bound states in Functional Renormalization Group},
author = {A. Jakovac and A. Patkos},
journal= {arXiv preprint arXiv:1811.09418},
year = {2019}
}
Comments
19 pages, 11 figures; new references added, content is extended and reorganized