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T: Teilchenphysik

T 306: Feldtheorie

T 306.5: Talk

Tuesday, March 16, 1999, 15:10–15:25, TE7

Vortex Condensation and Confinement in SU(2) Yang–Mills Theory — •O. Tennert, K. Langfeld, M. Engelhardt, and H. Reinhardt — Institut für Theoretische Physik, Universität Tübingen, D–72076 Tübingen, Germany

Four-dimensional SU(2) Yang–Mills theory on the lattice is investigated in Maximal Centre Gauge. After a projection onto the centre Z₂ of the gauge group, thin vortices arise as degrees of freedom, which seem to completely dominate the low energy physics of full Yang–Mills theory (centre vortices). We show that this so-called Centre Dominance behaviour continues to hold also above the deconfinement transition, which, in terms of the Z₂ variables of the reduced theory, is observed at exactly the same critical temperature T_c. Additionally, we demonstrate that the density of vortices piercing a two-dimensional hyperplane exhibits perturbative scaling behaviour, indicating that it represents a physical quantity. Although an understanding of the underlying gauge invariant structure of the full Yang–Mills configuration space in terms of thick vortices is still incomplete, especially from an analytic point of view, centre vortices seem to reflect the relevant infrared degrees of freedom.

[1] K. Langfeld, H.Reinhardt, O.Tennert; Phys.Lett.B419 (1998) 317.

[2] K. Langfeld, O. Tennert, M. Engelhardt, H. Reinhardt; hep-lat/9805002