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G2 gauge theory at finite temperature

Guido Cossu1,2, Massimo D'Elia3, Adriano Di Giacomo4, Biagio Lucini5 and Claudio Pica6

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The gauge group being centreless, G2 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 G2 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.

Keywords

Confinement

Lattice Quantum Field Theory

 

E-print Number: 0709.0669

Cited: by |

Refers: to

PACS

11.10.Wx Finite-temperature field theory

11.15.Ha Lattice gauge theory

Subjects

Particle physics and field theory

Dates

Issue 10 (October 2007)

Received 5 September 2007, accepted for publication 17 October 2007

Published 30 October 2007



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