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G2 gauge theory at finite temperature

Guido Cossu et al JHEP10(2007)100   doi: 10.1088/1126-6708/2007/10/100  Help

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Guido Cossu1,2, Massimo D'Elia3, Adriano Di Giacomo4, Biagio Lucini5 and Claudio Pica6
1 Scuola Normale Superiore, Piazza dei Cavalieri 27, 56126 Pisa, Italy
2 INFN Pisa, Largo B. Pontecorvo 3 Ed. C, 56127 Pisa, Italy
3 Dipartimento di Fisica & INFN Genova, Via Dodecaneso 33, 16146 Genova, Italy
4 Dipartimento di Fisica & INFN Pisa, Largo B. Pontecorvo 3 Ed. C, 56127 Pisa, Italy
5 Department of Physics, Swansea University, Singleton Park, Swansea SA2 8PP, U.K.
6 Physics Department, Brookhaven National Laboratory, Upton, NY 11973-5000, U.S.A.
E-mail: g.cossu@sns.it

Abstract. 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.

Key words: Lattice Quantum Field Theory; Confinement

E-print number: 0709.0669
Cited: by
Refers: to

Received 5 September 2007, accepted for publication 17 October 2007
Published 30 October 2007

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