Trace anomaly for non-relativistic fermions

Roberto Auzzi, Stefano Baiguera, Giuseppe Nardelli

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

5 Citazioni (Scopus)


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.
Lingua originaleEnglish
pagine (da-a)0-24
Numero di pagine25
Stato di pubblicazionePubblicato - 2017


  • Anomalies in Field and String Theories
  • Renormalization Group


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