QCD at Zero Baryon Density (Poster contributions)

概要

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While the grand canonical partition function Z_<GC> (μ) with chemical potential μ 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> (μ = 0) and Z_c (B = 0) formally and by numerical simulations, in particular with respect to properties of the deconfinement transition. The small differences between the two ensembles vanish with increasing lattice size. We show numerically that the free energy density is the same for both ensembles in the thermodynamic limit. As a function of the chemical potential, the pressure is close to its Stefan-Boltzmann limit for T 〜 1.1T_C already.
理論物理学刊行会の論文
2004-05-31