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Lorentz Invariance in Chiral Kinetic Theory

Jing-Yuan Chen, Dam T. Son, Mikhail A. Stephanov, Ho-Ung Yee, and Yi Yin
Phys. Rev. Lett. 113, 182302 – Published 30 October 2014

Abstract

We show that Lorentz invariance is realized nontrivially in the classical action of a massless spin-12 particle with definite helicity. We find that the ordinary Lorentz transformation is modified by a shift orthogonal to the boost vector and the particle momentum. The shift ensures angular momentum conservation in particle collisions and implies a nonlocality of the collision term in the Lorentz-invariant kinetic theory due to side jumps. We show that 2/3 of the chiral-vortical effect for a uniformly rotating particle distribution can be attributed to the magnetic moment coupling required by the Lorentz invariance. We also show how the classical action can be obtained by taking the classical limit of the path integral for a Weyl particle.

  • Figure
  • Received 5 May 2014

DOI:https://doi.org/10.1103/PhysRevLett.113.182302

© 2014 American Physical Society

Authors & Affiliations

Jing-Yuan Chen1, Dam T. Son1, Mikhail A. Stephanov2,1, Ho-Ung Yee2,3, and Yi Yin2

  • 1Kadanoff Center for Theoretical Physics, University of Chicago, Chicago, Illinois 60637, USA
  • 2Physics Department, University of Illinois at Chicago, Chicago, Illinois 60607, USA
  • 3RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973-5000, USA

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Issue

Vol. 113, Iss. 18 — 31 October 2014

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