Vortical susceptibility of finite-density QCD matter

Abstract

The susceptibility of finite-density QCD matter to vorticity is introduced, as an analog of magnetic susceptibility. It describes the spin polarization of quarks and antiquarks in finite-density QCD matter induced by rotation. We estimate this quantity in the chirally broken phase using the mixed gauge-gravity anomaly at finite baryon density. It is proposed that the vortical susceptibility of QCD matter is responsible for the polarization of $\Lambda$ and $\bar{\Lambda }$ hyperons observed recently in heavy ion collisions at RHIC by the STAR Collaboration.

arXiv comment13 pages

References in corpus (29)

• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Parity violation in hot QCD: why it can happen, and how to look for it
• Fluid dynamics of R-charged black holes
• Globally Polarized Quark-gluon Plasma in Non-central A+A Collisions
• Charge separation induced by P-odd bubbles in QCD matter
• Gravitational Anomaly and Transport
• Anomalous Axion Interactions and Topological Currents in Dense Matter
• Quantum Anomalies in Dense Matter
• Properties of hot and dense matter from relativistic heavy ion collisions
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Spin Alignment of Vector Mesons in Non-central A+A Collisions
• Polarization probes of vorticity in heavy ion collisions
• Vorticity in Heavy-Ion Collisions
• A study of vorticity formation in high energy nuclear collisions
• Global quark polarization in non-central $A+A$ collisions
• Holographic Gravitational Anomaly and Chiral Vortical Effect
• Lambda Polarization in Peripheral Heavy Ion Collisions
• Pairing Phase Transitions of Matter under Rotation
• Perturbative and nonperturbative renormalization of anomalous quark triangles
• Chiral vortaic effect and neutron asymmetries at NICA
• Determination of the magnetic susceptibility of the quark condensate using radiative heavy meson decays
• Magnetic susceptibility of QCD at zero and at finite temperature from the lattice
• Chiral magnetization of non-Abelian vacuum: a lattice study
• The Proton Spin Puzzle and $\Lambda$ Polarization in Deep--Inelastic Scattering
• Magnetic susceptibility of the quark condensate via holography
• Exclusive photoproduction of hard dijets and magnetic susceptibility of QCD vacuum
• Successes and Failures of a More Comprehensive Hard Wall AdS/QCD
• More on the Tensor Response of the QCD Vacuum to an External Magnetic Field
• Angular Momentum and Gravimagnetization of the $\mathcal{N}=2$ SYM vacuum

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• Non-dissipative second-order transport, spin, and pseudo-gauge transformations in hydrodynamics
• The ideal relativistic fluid limit for a medium with polarization
• Causality and dissipation in relativistic polarizeable fluids
• Sound waves and vortices in a polarized relativistic fluid
• Covariant chiral kinetic equation in Wigner function approach
• Vorticity and hyperon polarization at NICA energies
• Surface Magnetic Catalysis
• Relaxation time for the alignment between the spin of a finite-mass quark/antiquark and the thermal vorticity in relativistic heavy-ion collisions
• Anomalous gravitomagnetic moment and non-universality of the axial vortical effect at finite temperature
• Charge asymmetry dependence of the elliptic flow splitting in relativistic heavy-ion collisions
• Shear-induced anomalous transport and charge asymmetry of triangular flow in heavy-ion collisions
• Dynamics of vortices in chiral media: the chiral propulsion effect
• On magnetic and vortical susceptibilities of the Cooper condensate
• The Chiral Phase Transitions of Helical Matter
• Tensor supercurrent in QCD
• On the evaluation of vortical susceptibility of chiral condensate in QCD
• Quark-hadron duality in hydrodynamics: an example