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Canonical partition function and finite density phase transition in lattice QCD

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arxiv 0804.3227 v3 pith:L5W5VMMJ submitted 2008-04-21 hep-lat hep-ph

classification hep-lathep-ph
keywords densityfunctioncanonicalfinitelatticepartitionphasequark
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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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Cited by 1 Pith paper

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  1. Exotic phases in finite-density $\mathbb{Z}_3$ theories

    hep-ph 2024-11 conditional novelty 6.0 of 10

    Using approximate renormalization group methods, the authors map phase diagrams of Z3 spin and gauge models and find that only chiral spin models and their duals show an infinite Devil's flower family of inhomogeneous...

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