Lattice study of thermodynamic properties of dense QC${}_2$D

Abstract

In this paper we study thermodynamic properties of dense cold $SU(2)$ QCD within lattice simulation with dynamical rooted staggered quarks which in the continuum limit correspond to $N_f=2$ quark flavours. We calculate baryon density, renormalized chiral and diquark condensates for various baryon chemical potentials in the region $\mu \in (0,2000)$ MeV. It is found, that in the region $\mu \in (0,540)$ MeV the system is well described by the ChPT predictions. In the region $\mu >540$ MeV the system becomes sufficiently dense and ChPT is no longer applicable to describe lattice data. For chemical potentials $\mu >900$ 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 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.

10 pages, 11 figures

References in corpus (8)

• The QCD equation of state with dynamical quarks
• The QCD Equation of State with almost Physical Quark Masses
• Towards the phase diagram of dense two-color matter
• Chiral Lagrangian and spectral sum rules for dense two-color QCD
• Behaviour of the topological susceptibility in two colour QCD across the finite density transition
• Two-colour QCD phases and the topology at low temperature and high density
• Continuum Goldstone spectrum of two-color QCD at finite density with staggered quarks
• Topology, chiral and screening transitions at finite density in two colour QCD

Cited by in corpus (19)

• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• Peaks of sound velocity in two color dense QCD: quark saturation effects and semishort range correlations
• Remarks on nuclear matter: how an ${\omega }_0$ condensate can spike the speed of sound, and a model of $Z(3)$ baryons
• Insights on the peak in the speed of sound of ultradense matter
• Thermal quarks and gluon propagators in two-color dense QCD
• Probing the hadron mass spectrum in dense two-color QCD with the linear sigma model
• Overview of external electromagnetism and rotation in lattice QCD
• Fate of the topological susceptibility in two-color dense QCD
• Sound velocity peak induced by the chiral partner in dense two-color QCD
• Study of two color QCD on large lattices
• Delineating chiral separation effect in two-color dense QCD
• When cold, dense quarks in 1+1 and 3+1 dimensions are not a Fermi liquid
• Chiral effective model of cold and dense two-color QCD: The linear sigma model approach
• The $\theta$-angle and axion physics of two-color QCD at fixed baryon charge. Part I
• Relative scale setting for two-color QCD with Nf=2 Wilson fermions
• Chiral symmetry restoration in QC_2D from effective model using the functional renormalization group
• Enhancement of axial anomaly effects in hot two-color QCD: FRG approach in the linear sigma model
• Roles of $U(1)$ axial anomaly effects in cold and dense two-color QCD with $2+2$ flavors
• Thermal quarks and Polyakov loops in two-color dense QCD