QCD at zero baryon density

Details QCD at zero baryon density QCD at zero baryon density

2003-09-22

arxiv.org/abs/hep-lat/0309146v1

Prog.Theor.Phys.Suppl. 153 (2004) 330-334; Nucl.Phys.Proc.Suppl. 129 (2004) 533-535

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice2003(nonzero), 3 pages, 5 figures

Scientific paper

10.1016/S0920-5632(03)02632-X

While the grand canonical partition function Z_{GC}(mu) with chemical potential mu explicitly breaks the Z_3 symmetry with the Dirac determinant, the canonical partition function at fixed baryon number Z_C(B) is manifestly Z_3-symmetric. We compare Z_{GC}(mu=0) and Z_C(B=0) formally and by numerical simulations, in particular with respect to properties of the deconfinement transition. Differences between the two ensembles, for physical observables characterising the phase transition, vanish with increasing lattice size. We show numerically that the free energy density is the same for both ensembles in the thermodynamic limit.

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