Phase diagram at finite temperature and quark density in the strong coupling limit of lattice QCD for color SU(3)

Ohnishi, Akira; Kawamoto, Noboru; Miura, Kiyotaka

doi:10.1103/physrevd.75.014502

Cited by 49 publications

(76 citation statements)

References 79 publications

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“…Note, that our lattice spacing is close to the strong coupling regime and we should feel the influence of the strong coupling limit. Strong coupling expansion calculations in general yield much lower values of µ B /T c (µ B = 0) 1.5 [19].…”

Section: Discussionmentioning

confidence: 99%

The density of states method at non-zero chemical potential

Fodor

Katz

Schmidt

2007

J. High Energy Phys.

165

176

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Abstract:We study the QCD phase diagram by first principle lattice calculations at so far unreached high densities. For this purpose we employ the density of states method. Unimproved staggered fermions, which describe four quark flavors in the continuum are used in this analysis. Though the method is quite expensive, small lattices show an indication for a triple-point connecting three different phases on the phase diagram.

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Section: Discussionmentioning

confidence: 99%

The density of states method at non-zero chemical potential

Fodor

Katz

Schmidt

2007

J. High Energy Phys.

165

176

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“…Although the strong coupling limit is a drastic approximation which neglects the gauge dynamics completely, it is amazing that only the Dirac determinant with random gluon fields can grasp rich contents of quark matter not only in the two-color case [2,5,20] but also in the general case [3,40,41,42,43,44,45,46,47,48,49]. In a box with volume V = L 4 , the operator D is a (4N c V ) × (4N c V ) matrix.…”

Section: Two-color Qcd At Strong Couplingmentioning

confidence: 99%

Characteristics of the eigenvalue distribution of the Dirac operator in dense two-color QCD

Fukushima¹

2008

J. High Energy Phys.

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Abstract:We exposit the eigenvalue distribution of the lattice Dirac operator in Quantum Chromodynamics with two colors (i.e. two-color QCD). We explicitly calculate all the eigenvalues in the presence of finite quark chemical potential µ for a given gauge configuration on the finite-volume lattice. First, we elaborate the Banks-Casher relations in the complex plane extended for the diquark condensate as well as the chiral condensate to relate the eigenvalue spectral density to the physical observable. Next, we evaluate the condensates and clarify the characteristic spectral change corresponding to the phase transition. Assuming the strong coupling limit, we exhibit the numerical results for a random gauge configuration in two-color QCD implemented by the staggered fermion formalism and confirm that our results agree well with the known estimate quantitatively. We then exploit our method in the case of the Wilson fermion formalism with two flavors. Also we elucidate the possibility of the Aoki (parity-flavor broken) phase and conclude from the point of view of the spectral density that the artificial pion condensation is not induced by the density effect in strong-coupling two-color QCD.

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“…In particular, it has already provided predictions with better than 10% accuracy for the critical couplings of SU (2), SU(3) Yang-Mills [8], the critical quark masses where the deconfinement transition changes to a crossover [9] and the tricritical point of the deconfinement transition at imaginary chemical potential [13]. A similar approach is used in [14][15][16][17] with staggered fermions. There, the chiral regime can be studied directly but the strong coupling series is much harder to compute and no continuum extrapolations are possible so far.…”

Section: Introductionmentioning

confidence: 99%

Heavy dense QCD and nuclear matter from an effective lattice theory

Langelage

Neuman

Philipsen

2014

J. High Energ. Phys.

140

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A three-dimensional effective lattice theory of Polyakov loops is derived from QCD by expansions in the fundamental character of the gauge action, u, and the hopping parameter, κ, whose action is correct to κ n u m with n + m = 4. At finite baryon density, the effective theory has a sign problem which meets all criteria to be simulated by complex Langevin as well as by Monte Carlo on small volumes. The theory is valid for the thermodynamics of heavy quarks, where its predictions agree with simulations of full QCD at zero and imaginary chemical potential. In its region of convergence, it is moreover amenable to perturbative calculations in the small effective couplings. In this work we study the challenging cold and dense regime. We find unambiguous evidence for the nuclear liquid gas transition once the baryon chemical potential approaches the baryon mass, and calculate the nuclear equation of state in the limit of heavy baryons. In particular, we find a negative binding energy per nucleon causing the condensation, whose absolute value decreases exponentially as mesons get heavier. For decreasing meson mass, we observe a first order liquid gas transition with an endpoint at some finite temperature, as well as a gap between the onset of isospin and baryon condensation.

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Phase diagram at finite temperature and quark density in the strong coupling limit of lattice QCD for color SU(3)

Cited by 49 publications

References 79 publications

The density of states method at non-zero chemical potential

The density of states method at non-zero chemical potential

Characteristics of the eigenvalue distribution of the Dirac operator in dense two-color QCD

Heavy dense QCD and nuclear matter from an effective lattice theory

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