Short distance behaviour of the effective string

Details Short distance behaviour of the effective string Short distance behaviour of the effective string

2004-03-03

arxiv.org/abs/hep-lat/0403004v2

JHEP 0405 (2004) 032

Physics

High Energy Physics

High Energy Physics - Lattice

38 pages, 7 figures, version accepted for publication in JHEP

Scientific paper

10.1088/1126-6708/2004/05/032

We study the Polyakov loop correlator in the (2+1) dimensional Z_2 gauge model. An algorithm that we have presented recently, allows us to reach high precision results for a large range of distances and temperatures, giving us the opportunity to test predictions of the effective Nambu-Goto string model. Here we focus on the regime of low temperatures and small distances. In contrast to the high temperature, large distance regime, we find that our numerical results are not well described by the two loop-prediction of the Nambu-Goto model. In addition we compare our data with those for the SU(2) and SU(3) gauge models in (2+1) dimensions obtained by other authors. We generalize the result of L\"uscher and Weisz for a boundary term in the interquark potential to the finite temperature case.

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