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.
Highlights
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
We argue that the presence of these anomalous terms leads to dramatic 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
We show that the ground state of 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, to the situation of QCD in a strong magnetic field [28, 29]
Summary
We consider QCD with Nf flavors at finite chemical potential and temperature T under a global rotation Ω.1 we consider massless quarks (chiral limit). It is known that the coefficients of the μ and T dependent terms in eq (2.1) are respectively related to the chiral anomaly and the gauge-gravitational anomaly [16,17,18], and that the coefficient of the μ-dependent term does not receive any renormalization (while the T -dependent term can when it couples to dynamical gauge fields [30, 31]). One expects that the CVE should appear independently of the energy scale involved and the absence/presence of spontaneous symmetry breaking of the system It should be reproduced in the framework of the low-energy effective theory for NG modes — the chiral perturbation theory (ChPT). On the other hand, the axial current ja5μ is carried by a NG mode πa associated with chiral symmetry breaking. We will focus on the cases where this exact μ-dependent part is relevant. (We will briefly comment on the case where the T -dependent part is relevant in appendix A.)
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
