A semiclassical formulation of the chiral magnetic effect and chiral anomaly in even d + 1 dimensions

Ömer F. Dayi, Mahmut Elbistan

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In terms of the matrix valued Berry gauge field strength for the Weyl Hamiltonian in any even space-time dimensions a symplectic form whose elements are matrices in spin indices is introduced. Definition of the volume form is modified appropriately. A simple method of finding the path integral measure and the chiral current in the presence of external electromagnetic fields is presented. It is shown that within this new approach the chiral magnetic effect as well as the chiral anomaly in even d + 1 dimensions are accomplished straightforwardly.

Original languageEnglish
Article number1650074
JournalInternational Journal of Modern Physics A
Volume31
Issue number13
DOIs
Publication statusPublished - 10 May 2016

Bibliographical note

Publisher Copyright:
© 2016 World Scientific Publishing Company.

Keywords

  • Berry gauge field
  • semiclassical chiral anomaly
  • Semiclassical chiral magnetic effect
  • Wely Hamiltonian

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