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T: Teilchenphysik

T 505: QFT II

T 505.2: Group Report

Thursday, March 30, 2006, 16:40–17:00, C2-02-176

The SU(2) quark-antiquark potential in the pseudoparticle approach — •Marc Wagner — Institute for Theoretical Physics III, University of Erlangen-Nürnberg, Staudtstraße 7, 91058 Erlangen

The pseudoparticle approach is a technique for numerical calculations of path integrals in noncompact gauge theories [1]. The basic idea is to represent the gauge fields by a discrete superposition of pseudoparticles and to replace the integration over all gauge fields by an integration over the amplitudes and color orientations of the pseudoparticles. We applied this technique to calculate the potential between two static quarks in SU(2) Yang-Mills theory. For small quark antiquark separations our results indicate a Coulomb-like behavior. At the same time we observe a linear confining potential for large separations.

[1] Marc Wagner and Frieder Lenz: The pseudoparticle approach for solving path integrals in gauge theories, PoS(LAT2005)315, hep-lat/0510083, 2005.