Trace anomaly for non-relativistic fermions

Roberto Auzzi, Giuseppe Nardelli, Stefano Baiguera

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

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
Pages (from-to)0-24
Number of pages25
JournalJOURNAL OF HIGH ENERGY PHYSICS
DOIs
Publication statusPublished - 2017

Keywords

  • Anomalies in Field and String Theories
  • Renormalization Group

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