Topology of the momentum space, Wigner transformations, and a chiral anomaly in lattice models

M. A. Zubkov, Z. V. Khaidukov

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

Lattice models that can be used to discretize the quantum field theory with massless fermions have been discussed. These models can also be used to describe Dirac semimetals. It has been shown that the axial current for general lattice models should be redefined in order for the usual expression for the chiral anomaly to remain valid. In this case, in the presence of a time-independent potential of the external electromagnetic field, the formalism of Wigner transformations allows relating the divergence of the axial current to a topological invariant in the momentum space that is defined for a system in equilibrium and is responsible for the stability of the Fermi point. The evaluated expression is the axial anomaly for general lattice models. This expression has been illustrated for models with Wilson fermions.

Original languageEnglish
Pages (from-to)172-178
Number of pages7
JournalJETP Letters
Volume106
Issue number3
DOIs
StatePublished - 1 Aug 2017
Externally publishedYes

Fingerprint

Dive into the research topics of 'Topology of the momentum space, Wigner transformations, and a chiral anomaly in lattice models'. Together they form a unique fingerprint.

Cite this