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Confinement: $G_2$ group case

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arxiv 0710.0481 v1 pith:XHJ4EC3Z submitted 2007-10-02 hep-lat

classification hep-lat
keywords gaugeconfinementgroupcolourdeconfinementfinitestudyingtheory
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abstract

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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Exceptional Periodicity and Magic Star Algebras. I : Foundations

    math.RT 2019-09 conditional novelty 5.0 of 10

    The paper rigorously defines 'Magic Star algebras', periodic finite dimensional generalizations of e6, e7, and e8, which are Lie algebras only at the base level n=1.

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