Casimir scaling in G(2) lattice gauge theory

Abstract

We computed potentials between static color sources from the six lowest representations of G(2) lattice gauge theory, in numerical simulations with the Wilson action on asymmetric lattices with nonperturbatively estimated values of the bare anisotropy. We present evidence for (approximate) Casimir scaling of the obtained intermediate string tensions. The agreement with the Casimir-scaling prediction improves by increasing the coupling beta in the weak-coupling region above the crossover observed in G(2) gauge theory. The result naturally fits into confinement models with magnetic disorder and vacuum domain structure, but may represent a challenge for other approaches.

14 pages, 12 figures (24 EPS files), RevTeX4. In v2: typos corrected, discussion of systematic errors and of smearing expanded, references added. Version to appear in Phys. Rev. D

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• Renormalized Polyakov loops in many representations
• Exceptional Deconfinement in G(2) Gauge Theory
• Color Screening, Casimir Scaling, and Domain Structure in G(2) and SU(N) Gauge Theories
• G_2 gauge theory at finite temperature
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• Phase diagram of the lattice G(2) Higgs Model
• On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators
• Glueballs and the Yang-Mills plasma in a $T$-matrix approach
• Topological aspects of G2 Yang-Mills theory
• Quark Confinement in Restricted SU(2) Gauge Theory
• Cho decomposition, Abelian gauge fixing and monopoles in G(2) Yang-Mills theory
• Domain structures and quark potentials in SU($3$) gauge theory
• Confinement, Casimir scaling and phase transitions in G(2) gauge theories