2016Journal of High Energy PhysicsOpen access

QCD phase transition at real chemical potential with canonical approach

Atsushi Nakamura, Shotaro Oka, Yusuke Taniguchi

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Abstract

We study the finite density phase transition in the lattice QCD at real chemical potential. We adopt a canonical approach and the canonical partition function is constructed for N f = 2 QCD. After derivation of the canonical partition function we calculate observables like the pressure, the quark number density, its second cumulant and the chiral condensate as a function of the real chemical potential. We covered a wide range of temperature region starting from the confining low to the deconfining high temperature; 0.65T c ≤ T ≤ 3.62T c . We observe a possible signal of the deconfinement and the chiral restoration phase transition at real chemical potential below T c starting from the confining phase. We give also the convergence range of the fugacity expansion.

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We study the finite density phase transition in the lattice QCD at real chemical potential. We adopt a canonical approach and the canonical partition function is constructed for N f = 2 QCD. After derivation of the canonical partition function we calculate observables like the pressure, the quark number density, its second cumulant and the chiral condensate as a function of the real chemical potential. We covered a wide range of temperature region starting from the confining low to the deconfining high temperature; 0.65T c ≤ T ≤ 3.62T c . We observe a possible signal of the deconfinement and the chiral restoration phase transition at real chemical potential below T c starting from the confining phase. We give also the convergence range of the fugacity expansion.

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Available abstract

We study the finite density phase transition in the lattice QCD at real chemical potential. We adopt a canonical approach and the canonical partition function is constructed for N f = 2 QCD. After derivation of the canonical partition function we calculate observables like the pressure, the quark number density, its second cumulant and the chiral condensate as a function of the real chemical potential. We covered a wide range of temperature region starting from the confining low to the deconfining high temperature; 0.65T c ≤ T ≤ 3.62T c . We observe a possible signal of the deconfinement and the chiral restoration phase transition at real chemical potential below T c starting from the confining phase. We give also the convergence range of the fugacity expansion.

Key concepts: Deconfinement, Fugacity, Quantum chromodynamics, Physics, Observable, Phase transition, Thermodynamic potential, Partition function (quantum field theory)

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