München 2006 – scientific programme
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HK: Physik der Hadronen und Kerne
HK 50: Theorie
HK 50.3: Talk
Thursday, March 23, 2006, 17:30–17:45, G
Lessons on confinement from G(2) gauge theory — •Kurt Langfeld1, Jeff Greensite2, Hugo Reinhardt1, Stefan Olejnik3, and Torsten Tok1 — 1University of Tübingen — 2San Francisco State University — 3Bratislava Institute of Physics
Over the recent past, it has turned out that in SU(3), SU(2) gauge theories center degrees of freedom, the so-called center vortices, play a major role for the confinement mechanism. Numerical simulations showed that the G(2) gauge theory shares the properties No-dqasymptotic freedomNo-dq and No-dqintermediate linear confinementNo-dq with QCD. On the other hand, the group G(2) does not possess a non-trivial center implying that the center vortex picture of confinement, which operates in SU(2) and SU(3), cannot be realized. Indeed, G(2) gauge theory does not possess asymptotic confinement, but nevertheless a linear rising confinement potential at intermediate distances. In order to explore the mechanism for confinement at intermediate distances, we study by means of lattice gauge simulations the Polyakov line of G(2) below and above the critical temperature. Furthermore, we investigate the role of the SU(3) subgroup of G(2) and, in particular, the role of the corresponding Z3 center vortices.