Confinement versus Bose-Einstein condensation

Details Confinement versus Bose-Einstein condensation Confinement versus Bose-Einstein condensation

2004-12-02

arxiv.org/abs/hep-th/0412020v1

Physics

High Energy Physics

High Energy Physics - Theory

invited plenary talk at Confinement VI, September 21-25, 2004, Villasimius (Cagliari) Sardinia, 10 pages, 5 figures

Scientific paper

10.1063/1.1920940

The deconfinement phase transition at high baryon densities and low temperatures evades a direct investigation by means of lattice gauge calculations. In order to make this regime of QCD accessible by computer simulations, two proposal are made: (i) A Lattice Effective Theory (LET) is designed which incorporates gluon and diquark fields. The deconfinement transition takes place when the diquark fields undergo Bose-Einstein condensation. (ii) Rather than using eigenstates of the particle number operator, I propose to perform simulations for a fixed expectation value of the baryonic Noether current. This approach changes the view onto the finite density regime, but evades the sign and overlap problems. The latter proposal is exemplified for the LET: Although the transition from the confinement to the condensate phase is first order in the coupling constant space at zero baryon densities, the transition at finite densities appears to be a crossover.

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