Anomalous transport and generalized axial charge

Vladimir P. Kirilin and Andrey V. Sadofyev
Phys. Rev. D 96, 016019 – Published 25 July 2017

Abstract

In this paper we continue studying the modification of the axial charge in chiral media by macroscopic helicities. Recently it was shown that magnetic reconnections result in a persistent current of zero mode along flux tubes. Here we argue that in general a change in the helical part of the generalized axial charge results in the same phenomenon. Thus one may say that there is a novel realization of chiral effects requiring no initial chiral asymmetry. The transfer of flow helicity to zero modes is analyzed in a toy model based on a vortex reconnection in a chiral superfluid. Then, we discuss the balance between the two competing processes effect of reconnections and the chiral instability on the example of magnetic helicity. We argue that in the general case there is a possibility for the distribution of the axial charge between the magnetic and fermionic forms at the end of the instability.

  • Received 14 March 2017

DOI:https://doi.org/10.1103/PhysRevD.96.016019

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Vladimir P. Kirilin1,2,* and Andrey V. Sadofyev3,2,†

  • 1Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
  • 2ITEP, B. Cheremushkinskaya 25, Moscow 117218, Russia
  • 3Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

  • *vkirilin@princeton.edu
  • sadofyev@mit.edu

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Vol. 96, Iss. 1 — 1 July 2017

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