Casimir Scaling in SU(2) Lattice Gauge Theory

Details Casimir Scaling in SU(2) Lattice Gauge Theory Casimir Scaling in SU(2) Lattice Gauge Theory

2005-03-16

arxiv.org/abs/hep-lat/0503021v2

Phys.Rev. D73 (2006) 114509

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, 3 figures. Published version with connection to k-string studies and references added

Scientific paper

10.1103/PhysRevD.73.114509

By employing the multilevel algorithm in numerical Monte Carlo simulations, we evaluate the static potential in four dimensional SU(2) lattice gauge theory with no dynamical fermions, for static sources in the j=1/2,1,3/2 representations. We find data supporting the Casimir scaling hypothesis. With the same technique we show that the ratio of the logarithm of Wilson loops in the j=2 and j=1/2 representations, as a function of the area of the loops, also satisfies Casimir scaling.

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