Flow Equations for N Point Functions and Bound States
High Energy Physics - Phenomenology
2008-11-26 v2 High Energy Physics - Theory
Abstract
We discuss the exact renormalization group or flow equation for the effective action and its decomposition into one particle irreducible N point functions. With the help of a truncated flow equation for the four point function we study the bound state problem for scalar fields. A combination of analytic and numerical methods is proposed, which is applied to the Wick-Cutkosky model and a QCD-motivated interaction. We present results for the bound state masses and the Bethe-Salpeter wave function. (Figs. 1-4 attached as separate uuencoded post-script files.)
Cite
@article{arxiv.hep-ph/9308260,
title = {Flow Equations for N Point Functions and Bound States},
author = {Ulrich Ellwanger},
journal= {arXiv preprint arXiv:hep-ph/9308260},
year = {2008}
}
Comments
17 pages, HD-THEP-93-30