First evidence for Casimir scaling in G(2) lattice gauge theory

Details First evidence for Casimir scaling in G(2) lattice gauge theory First evidence for Casimir scaling in G(2) lattice gauge theory

2008-11-21

arxiv.org/abs/0811.3497v1

PoS Confinement8:058,2008

Physics

High Energy Physics

High Energy Physics - Lattice

Contribution presented at the conference "Quark Confinement and the Hadron Spectrum VIII", Mainz, Germany, Sept. 1-6, 2008; 5

Scientific paper

Potentials between static quarks and antiquarks from a few lowest representations were evaluated in numerical simulations of 4-dimensional pure G$_2$ lattice gauge theory at various couplings. The obtained potentials are linearly rising at intermediate distances and their string tensions exhibit (approximate) Casimir scaling. This result is in accordance with a model of the vacuum of non-Abelian gauge theories with a domain structure, in which the (color) magnetic flux randomly fluctuates within a domain, but the total flux in each domain is quantized in units of the gauge group center.

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