η and η^′ mesons in the Dyson-Schwinger approach using a generalization of the Witten-Veneziano relation

2007/10/31 by Davor Horvatić, D. Horvatic, D. Blaschke +5
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th

paper · pdf · doi:10.1140/epja/i2008-10670-x

published as Eur.Phys.J.A38:257-264,2008 · 8 pages, version accepted for publication in the European Physical Journal A

arxiv created 2008/11/01 · openalex publication_date 2008/11/16 · arxiv updated 2009/12/01 · openalex created_date 2019/08/13 · openalex updated_date 2026/07/29

Abstract

The description of the η and η^′ mesons in the Dyson-Schwinger approach has relied on the Witten-Veneziano relation. The present paper explores the consequences of using instead its generalization recently proposed by Shore. On the examples of three different model interactions, we find that irrespective of the concrete model dynamics, our Dyson-Schwinger approach is phenomenologically more successful in conjunction with the standard Witten-Veneziano relation than with the proposed generalization valid in all orders in the 1/N_c expansion.

Citations

• Topological susceptibility at zero and finite T in SU(3) Yang-Mills theory
• FINITE T MESON CORRELATIONS AND QUARK DECONFINEMENT
• ηandη′mesons in the Dyson-Schwinger approach at finite temperature
• Chiral perturbation theory: Expansions in the mass of the strange quark