Anomalous effects of dense matter under rotation

Abstract

We study the anomaly induced effects of dense baryonic matter under rotation. We derive the anomalous terms that account for the chiral vortical effect in the low-energy effective theory for light Nambu-Goldstone modes. The anomalous terms lead to new physical consequences, such as the anomalous Hall energy current and spontaneous generation of angular momentum in a magnetic field (or spontaneous magnetization by rotation). In particular, we show that, due to the presence of such anomalous terms, the ground state of the quantum chromodynamics (QCD) under sufficiently fast rotation becomes the "chiral soliton lattice" of neutral pions that has lower energy than the QCD vacuum and nuclear matter. We briefly discuss the possible realization of the chiral soliton lattice induced by a fast rotation in noncentral heavy ion collisions.

15 pages

References in corpus (10)

• Gravitational Anomaly and Transport
• Angular momentum conservation in heavy ion collisions at very high energy
• Quantum Anomalies in Dense Matter
• Axial anomaly and magnetism of nuclear and quark matter
• Flow Vorticity in Peripheral High Energy Heavy Ion Collisions
• Interacting fermions in rotation: chiral symmetry restoration, moment of inertia and thermodynamics
• Boundary effects and gapped dispersion in rotating fermionic matter
• A Possible Higher Order Correction to the chiral Vortical Conductivity in a Gauge Field Plasma
• On electrodynamics of chiral matter
• Anomalous electrodynamics of neutral pion matter in strong magnetic fields

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• Chiral soliton lattice at next-to-leading order
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• Hyperon polarization and its relation with directed flow in high-energy nuclear collisions
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• Spin Statistics and Surgeries of Topological Solitons in QCD Matter in Magnetic Field
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• Solitonic ground state in supersymmetric theory in background
• Analytic Baby Skyrmions at Finite Density
• Chiral effects and Joule heating in hot and dense matter
• Preponderant Orbital Polarization in Relativistic Magnetovortical Matter
• Chiral magnetic effect in the hadronic phase
• Floquet vacuum engineering: Laser-driven chiral soliton lattice in the QCD vacuum
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• Holographic QCD Matter: Chiral Soliton Lattices in Strong Magnetic Field
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