Eur. Phys. J. C (2007) 52: 305-314
https://doi.org/10.1140/epjc/s10052-007-0394-4

Regular Article - Theoretical Physics

Hadron masses in QCD with one quark flavour

¹ Institut für Theoretische Physik, Universität Münster, Wilhelm-Klemm-Strasse 9, 48149, Münster, Germany
² Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22603, Hamburg, Germany
³ Physics Department, Brookhaven National Laboratory, Upton, NY, 11973, USA

^* e-mail: montvay@mail.desy.de

Received: 9 July 2007
Published online: 6 September 2007

Abstract

One-flavour QCD – a gauge theory with SU(3) colour gauge group and a fermion in the fundamental representation – is studied by Monte Carlo simulations. The mass spectrum of the hadronic bound states is investigated in a volume with extensions of L≃4.4r₀ (≃ 2.2 fm) at two different lattice spacings: a≃0.37r₀ (≃ 0.19 fm) and a≃0.27r₀ (≃ 0.13 fm). The lattice action is a Symanzik tree-level improved Wilson action for the gauge field and an (unimproved) Wilson action for the fermion.