Journal of High Energy Physics

, 2018:69 | Cite as

Anomalous effects of dense matter under rotation

  • Xu-Guang Huang
  • Kentaro Nishimura
  • Naoki Yamamoto
Open Access
Regular Article - Theoretical Physics


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.


Effective Field Theories Phase Diagram of QCD Topological States of Matter 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Xu-Guang Huang
    • 1
    • 2
  • Kentaro Nishimura
    • 3
  • Naoki Yamamoto
    • 3
  1. 1.Physics Department and Center for Particle Physics and Field TheoryFudan UniversityShanghaiChina
  2. 2.Key Laboratory of Nuclear Physics and Ion-beam Application (MOE)Fudan UniversityShanghaiChina
  3. 3.Department of PhysicsKeio UniversityYokohamaJapan

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