https://doi.org/10.1140/epja/i2008-10670-x
Regular Article - Theoretical Physics
and 
mesons in the Dyson-Schwinger approach using a generalization of the Witten-Veneziano relation
1
Physics Department, Faculty of Science, University of Zagreb, Bijenička c. 32, 10000, Zagreb, Croatia
2
Institute for Theoretical Physics, University of Wroclaw, Max Born pl. 9, 50-204, Wroclaw, Poland
3
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Russia
4
Institute of Physics, University of Rostock, D-18051, Rostock, Germany
5
Laboratory for Information Technologies, Joint Institute for Nuclear Research, 141980, Dubna, Russia
6
Rudjer Bošković Institute, P.O.B. 180, 10002, Zagreb, Croatia
* e-mail: davorh@phy.hr
Received:
31
July
2008
Revised:
29
September
2008
Accepted:
15
October
2008
Published online:
18
November
2008
The description of the and 
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.
PACS: 11.10.St Bound and unstable states; Bethe-Salpeter equations – / 12.38.-t Quantum chromodynamics – / 14.40.Aq 
, K , and mesons – / 12.38.Lg Other nonperturbative calculations –
© SIF, Springer-Verlag Berlin Heidelberg, 2008
