Mixed anomalies: Chiral vortical effect and the Sommerfeld expansion

Michael Stone, Jiyoung Kim

Research output: Contribution to journalArticlepeer-review


We discuss the connection between the integer moments of the Fermi distribution function that occur in the Sommerfeld expansion and the coefficients that occur in anomalous conservation laws for chiral fermions. For an illustration, we extract the chiral magnetothermal energy current from the mixed gauge-gravity anomaly in the 3+1-dimensional energy-momentum conservation law. We then use a similar method to confirm the conjecture that the T2/12 thermal contribution to the chiral vortical effect current arises from the gravitational Pontryagin term in the 3+1-dimensional chiral anomaly.

Original languageEnglish (US)
Article number025012
JournalPhysical Review D
Issue number2
StatePublished - Jul 15 2018

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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