Anatomy of the chiral vortical effect

We consider the system of relativistic fermions in the presence of rotation. The rotation is set up as an enhancement of the angular momentum. In this approach the angular velocity for the angular momentum plays the same role as the chemical potential for density. We calculate the axial current usin...

Full description

Saved in:
Bibliographic Details
Published in:Physical review. D 2018-10, Vol.98 (7), p.076013, Article 076013
Main Authors: Abramchuk, Ruslan, Khaidukov, Z. V., Zubkov, M. A.
Format: Article
Language:English
Subjects:
Angular momentum
Angular velocity
Boundary conditions
Chemical potential
Dirac equation
Fermions
Organic chemistry
Rotation
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider the system of relativistic fermions in the presence of rotation. The rotation is set up as an enhancement of the angular momentum. In this approach the angular velocity for the angular momentum plays the same role as the chemical potential for density. We calculate the axial current using the direct solutions of the Dirac equation with the MIT bag boundary conditions. Next, we consider the alternative way of the rotation description, in which the local velocity of the substance multiplied by the chemical potential serves as the effective gauge field. In this approach it is possible to relate the axial current of the chiral vortical effect for the massless fermions to the topological invariant in momentum space, which is robust to the introduction of interactions. We compare the results for the axial current obtained using the two above-mentioned approaches.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.98.076013