Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2003-09-22
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.
Forcrand Philippe de
Kratochvila Slavo
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