Flow equations forN point functions and bound states

1993/08/13 by Ulrich Ellwanger · 16 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1007/bf01555911

published as Z.Phys.C62:503-510,1994 · 17 pages, HD-THEP-93-30

arxiv created 1993/08/13 · crossref issued 1994/09/01 · crossref published 1994/09/01 · crossref published-print 1994/09/01 · openalex publication_date 1994/09/01 · crossref created 2005/04/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · crossref deposited 2019/05/03 · openalex updated_date 2026/08/01 · crossref indexed 2026/08/05

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.)

Citations

• The renormalization group and the ε expansion
• Exact evolution equation for the effective potential

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