https://doi.org/10.1140/epja/i2006-10244-0
QNP 2006
Aspects of quark mass generation on a torus
1
Institut für Kernphysik, Technical University of Darmstadt, Schlossgartenstraße 9, 64289, Darmstadt, Germany
2
IPPP, Durham University, DH1 3LE, Durham, UK
* e-mail: christian.fischer@physik.tu-darmstadt.de
Received:
23
November
2006
Accepted:
30
November
2006
Published online:
9
March
2007
In this paper we report on recent results for the quark propagator on a compact manifold. The corresponding Dyson-Schwinger equations on a torus are solved on volumes similar to the ones used in lattice calculations. The quark-gluon interaction is fixed such that the lattice results are reproduced. We discuss both the effects in the infinite volume/continuum limit as well as effects when the volume is small.
PACS: 12.38.Aw General properties of QCD (dynamics, confinement, etc.) – / 12.38.Gc Lattice QCD calculations – / 12.38.Lg Other nonperturbative calculations – / 14.65.Bt Light quarks –
© Società Italiana di Fisica and Springer-Verlag, 2007