Confinement: $G_2$ group case

Details Confinement: $G_2$ group case Confinement: $G_2$ group case

2007-10-02

arxiv.org/abs/0710.0481v1

PoSLAT2007:296,2007

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, 4 figures, Proceedings of the The XXV International Symposium on Lattice Field Theory, Regensburg August 2007

Scientific paper

The gauge group being centreless, $G_2$ gauge theory is a good laboratory for studying the role of the centre of the group for colour confinement in Yang-Mills gauge theories. In this paper, we investigate $G_2$ pure gauge theory at finite temperature on the lattice. By studying the finite size scaling of the plaquette, the Polyakov loop and their susceptibilities, we show that a deconfinement phase transition takes place. The analysis of the pseudocritical exponents give strong evidence of the deconfinement transition being first order. Implications of our findings for scenarios of colour confinement are discussed.

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