Canonical partition function and finite density phase transition in lattice QCD

Details Canonical partition function and finite density phase transition in lattice QCD Canonical partition function and finite density phase transition in lattice QCD

2008-04-21

arxiv.org/abs/0804.3227v3

Phys.Rev.D78:074507,2008

Physics

High Energy Physics

High Energy Physics - Lattice

15 pages, 11 figures

Scientific paper

10.1103/PhysRevD.78.074507

We discuss the nature of the phase transition for lattice QCD at finite temperature and density. We propose a method to calculate the canonical partition function by fixing the total quark number introducing approximations allowed in the low density region. An effective potential as a function of the quark number density is discussed from the canonical partition function. We analyze data obtained in a simulation of two-flavor QCD using p4-improved staggered quarks with bare quark mass $m/T = 0.4$ on a $16^3 \times 4$ lattice. The results suggest that the finite density phase transition at low temperature is of first order.

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