Absence of equilibrium chiral magnetic effect

We analyze the (3+1)D equilibrium chiral magnetic effect (CME). We apply derivative expansion to the Wigner transform of the two-point Green function. This technique allows us to express the response of electric current to the external electromagnetic field strength through the momentum space topolo...

Full description

Saved in:
Bibliographic Details
Published in:Physical review. D 2016-05, Vol.93 (10), Article 105036
Main Author: Zubkov, M. A.
Format: Article
Language:English
Subjects:
Chemical potential
Coronal mass ejection
Derivatives
Fermions
Invariants
Lattices
Physics
Regularization
Topology
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 analyze the (3+1)D equilibrium chiral magnetic effect (CME). We apply derivative expansion to the Wigner transform of the two-point Green function. This technique allows us to express the response of electric current to the external electromagnetic field strength through the momentum space topological invariant. We consider the wide class of the lattice regularizations of quantum field theory (that includes, in particular, the regularization with Wilson fermions) and also certain lattice models of solid state physics (including those of Dirac semimetals). It appears that in these models the mentioned topological invariant vanishes identically at nonzero chiral chemical potential. That means that the bulk equilibrium CME is absent in those systems.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.93.105036