Confinement in G(2) Gauge Theories Using Thick Center Vortex Model and domain structures

Details Confinement in G(2) Gauge Theories Using Thick Center Vortex Model and domain structures Confinement in G(2) Gauge Theories Using Thick Center Vortex Model and domain structures

2011-12-21

arxiv.org/abs/1112.4963v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 9 figures

Scientific paper

Thick center vortex model with the idea of using domain structures is used to calculate the potentials between two G(2) heavy sources in the fundamental, the adjoint and the 27 dimensional representations. The potentials are screened at large distances. This behavior is expected from the thick center vortex model since G(2) has only a trivial center element which makes no contribution to the average Wilson loop at large distances regime. A linear potential is obtained at intermediate distances for all representations. This behavior can be explained by the thickness of the vortices (domains) and by defining a flux for the trivial center element of G(2). The role of SU(3) subgroup of G(2) in the linear regime is also discussed. The string tensions are in rough agreement with the Casimir operators of the corresponding representations.

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