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.

arXiv comment14 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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• Exceptional thermodynamics: The equation of state of G(2) gauge theory
• Chiral symmetry and spectral properties of the Dirac operator in G2 Yang-Mills Theory
• Field Correlator Method for the confinement in QCD
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• Phase diagram of the lattice G(2) Higgs Model
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• The structure of the Yang-Mills spectrum for arbitrary simple gauge algebras
• Constructing a neutron star in G2-QCD
• Confinement in G(2) Gauge Theories Using Thick Center Vortex Model and domain structures
• Quark Confinement in Restricted SU(2) Gauge Theory
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• Graphical Tensor Product Reduction Scheme for the Lie Algebras so(5) = sp(2), su(3), and g(2)
• Domain structures and quark potentials in SU($3$) gauge theory
• $F_4$ , $E_6$ and $G_2$ Exceptional Gauge Groups in Vacuum Domain Structure Model
• Confinement, Casimir scaling and phase transitions in G(2) gauge theories
• First evidence for Casimir scaling in G(2) lattice gauge theory
• Remarks on the Confinement in the $G(2)$ Gauge Theory Using the Thick Center Vortex Model
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