Trace anomaly for non-relativistic fermions

Roberto Auzzi, Stefano Baiguera, Giuseppe Nardelli

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We study the coupling of a 2 + 1 dimensional non-relativistic spin 1/2 fermion to a curved Newton-Cartan geometry, using null reduction from an extra-dimensional relativistic Dirac action in curved spacetime. We analyze Weyl invariance in detail: we show that at the classical level it is preserved in an arbitrary curved background, whereas at the quantum level it is broken by anomalies. We compute the trace anomaly using the Heat Kernel method and we show that the anomaly coefficients a, c are proportional to the relativistic ones for a Dirac fermion in 3 + 1 dimensions. As for the previously studied scalar case, these coefficents are proportional to 1/m, where m is the non-relativistic mass of the particle.

Original languageEnglish
Article number42
JournalJournal of High Energy Physics
Issue number8
StatePublished - 1 Aug 2017
Externally publishedYes


  • Anomalies in Field and String Theories
  • Renormalization Group
  • Space-Time Symmetries

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


Dive into the research topics of 'Trace anomaly for non-relativistic fermions'. Together they form a unique fingerprint.

Cite this