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.

Auzzi, R., Baiguera, S., Nardelli, G., Trace anomaly for non-relativistic fermions, <<JOURNAL OF HIGH ENERGY PHYSICS>>, 2017; (08): 0-24. [doi:10.1007/JHEP08(2017)042] [http://hdl.handle.net/10807/119525]

Trace anomaly for non-relativistic fermions

Auzzi, Roberto;Baiguera, Stefano;Nardelli, Giuseppe
2017

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.
2017
Inglese
Auzzi, R., Baiguera, S., Nardelli, G., Trace anomaly for non-relativistic fermions, <<JOURNAL OF HIGH ENERGY PHYSICS>>, 2017; (08): 0-24. [doi:10.1007/JHEP08(2017)042] [http://hdl.handle.net/10807/119525]
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/119525
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 7
  • ???jsp.display-item.citation.isi??? 6
social impact