Casimir Scaling in SU(2) Lattice Gauge Theory

Abstract

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.

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

References in corpus (3)

• Glueballs and k-strings in SU(N) gauge theories : calculations with improved operators
• Diffusion of Wilson Loops
• The decay of unstable k-strings in SU(N) gauge theories at zero and finite temperature

Cited by in corpus (13)

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• Casimir scaling in G(2) lattice gauge theory
• QCD-like theories at nonzero temperature and density
• The decay of unstable k-strings in SU(N) gauge theories at zero and finite temperature
• Static forces in d=2+1 SU(N) gauge theories
• Adjoint string breaking in the pseudoparticle approach
• Domain structures and quark potentials in SU($3$) gauge theory
• First evidence for Casimir scaling in G(2) lattice gauge theory
• Critical exponents for higher-representation sources in 3D SU(3) gauge theory from CFT
• The adjoint potential in the pseudoparticle approach: string breaking and Casimir scaling
• Vacuum structure and Casimir scaling in Yang-Mills theories