Dense two-color QCD towards continuum and chiral limits

Boz, Tamer; Giudice, Pietro; Hands, Simon; Skullerud, Jon-Ivar

doi:10.1103/physrevd.101.074506

Cited by 44 publications

(37 citation statements)

References 44 publications

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“…It is rather difficult to compare our results and the results obtained there due to large uncertainties of the calculation at small values of chemical potential. However, in the BCS phase the EoS from [28,34] is well described by the EoS of free relativistic quarks, which agrees with the results of the present paper.…”

Section: Fig 8 Topological Susceptibility In Energy Units Scaled Bsupporting

confidence: 92%

“…From these observations we can conclude that in the region aμ > 0.2 the system under study is in the BCS phase. The BCS phase in two-color QCD was observed previously in the papers [28,29,33,34].…”

Section: Fermionic Observablessupporting

confidence: 54%

“…Previously the EoS of dense QC 2 D was studied in the papers [28,34], where lattice simulation was carried out with dynamical Wilson fermions. It is rather difficult to compare our results and the results obtained there due to large uncertainties of the calculation at small values of chemical potential.…”

Section: Fig 8 Topological Susceptibility In Energy Units Scaled Bmentioning

confidence: 99%

“…The two-color QCD at finite chemical potential has been studied with lattice simulations quite intensively, see, e.g., [24][25][26][27][28][29][30][31][32][33][34][35] and references therein. Mostly, these papers are aiming at the study of the phase diagram of two-color QCD in the region of small and moderate baryon densities.…”

Section: Introductionmentioning

confidence: 99%

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Lattice study of thermodynamic properties of dense QC2D

et al. 2020

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In this paper we study thermodynamic properties of dense cold SUð2Þ QCD within lattice simulation with dynamical rooted staggered quarks which in the continuum limit correspond to N f ¼ 2 quark flavours. We calculate baryon density, renormalized chiral and diquark condensates for various baryon chemical potentials in the region μ ∈ ð0; 2000Þ MeV. It is found that in the region μ ∈ ð0; 540Þ MeV the system is well described by the ChPT predictions. In the region μ > 540 MeV the system becomes sufficiently dense and ChPT is no longer applicable to describe lattice data. For chemical potentials μ > 900 MeV we observe formation of the Fermi sphere, and the system is similar to the one described by the Bardeen-Cooper-Schrieffer theory where the diquarks play a role of Cooper pairs. In order to study how nonzero baryon density influences the gluon background we calculate chromoelectric and chromomagnetic fields, as well as the topological susceptibility. We find that the chromoelectric field and the topological susceptibility decrease, whereas the chromomagnetic field increases with rising of baryon chemical potential. Finally we study the equation of state of dense two-color quark matter.

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Section: Fig 8 Topological Susceptibility In Energy Units Scaled Bsupporting

confidence: 92%

Section: Fermionic Observablessupporting

confidence: 54%

Section: Fig 8 Topological Susceptibility In Energy Units Scaled Bmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Lattice study of thermodynamic properties of dense QC2D

et al. 2020

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“…The left panel of Fig. 1 shows the schematic phase diagram of two-flavor QC 2 D with massive quarks with the thermal boundary condition, which seems to be consistent with all data given by recent lattice simulations [19,32,[34][35][36][37]. However, we should note that the definitions of phases are rather ambiguous because we have no exact order parameters for the confinement or for chiral symmetry breaking, so different conventions are used between those papers.…”

Section: Introductionsupporting

confidence: 78%

Finite-density massless two-color QCD at the isospin Roberge-Weiss point and the 't Hooft anomaly

Furusawa

Tanizaki

Itou

2020

Phys. Rev. Research

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We study the phase diagram of two-flavor massless two-color QCD (QC 2 D) under the presence of quark chemical potentials and imaginary isospin chemical potentials. At the special point of the imaginary isospin chemical potential, called the isospin Roberge-Weiss (RW) point, two-flavor QC 2 D enjoys the Z 2 center symmetry that acts on both quark flavors and the Polyakov loop. We find a Z 2 't Hooft anomaly of this system, which involves the Z 2 center symmetry, the baryon-number symmetry, and the isospin chiral symmetry. Anomaly matching, therefore, constrains the possible phase diagram at any temperatures and quark chemical potentials at the isospin RW point, and we compare it with previous results obtained by chiral effective field theory and lattice simulations. We also point out an interesting similarity of two-flavor massless QC 2 D with (2+1)-dimensional quantum antiferromagnetic systems.

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