QCD at zero baryon density

Abstract

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.

Lattice2003(nonzero), 3 pages, 5 figures

References in corpus (3)

• Triality in QCD at Zero and Finite Temperature: A New Direction
• Baryonic thermal fluctuations in finite temperature QCD
• Deconfinement in QCD with dynamical quarks

Cited by in corpus (6)

• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• Lattice QCD at finite density via a new canonical approach
• Fluctuations and Correlations of Conserved Charges in QCD at Finite Temperature with Effective Models
• Finite density phase transition of QCD with $N_f=4$ and $N_f=2$ using canonical ensemble method
• QCD at Zero Baryon Density and the Polyakov Loop Paradox
• QCD at small baryon number