Understanding the chiral and parity anomalies without Feynman diagrams

Michael Stone, Ji Young Kim, Porter Howland

Research output: Contribution to journalArticlepeer-review


In this paper, we review the construction of the adiabatic expansion for Bose and Fermi systems and show how it may be used to explore the chiral and parity anomalies for Dirac fermions without the need to compute Feynman diagrams. One interesting application examines how the simple spectral-flow picture of the chiral anomaly is modified by the inclusion of a fermion mass.

Original languageEnglish (US)
Article number2350105
JournalInternational Journal of Modern Physics A
Issue number20
StatePublished - Jul 20 2023
Externally publishedYes


  • Chiral anomaly
  • adiabatic series

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics


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