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, A., Baiguera, S., Nardelli, G. (2017). Trace anomaly for non-relativistic fermions. JOURNAL OF HIGH ENERGY PHYSICS, 2017(8) [10.1007/JHEP08(2017)042].

Trace anomaly for non-relativistic fermions

BAIGUERA, STEFANO
Secondo
;
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
Articolo in rivista - Articolo scientifico
Anomalies in Field and String Theories; Renormalization Group; Space-Time Symmetries
English
10-ago-2017
2017
2017
8
42
open
Auzzi, A., Baiguera, S., Nardelli, G. (2017). Trace anomaly for non-relativistic fermions. JOURNAL OF HIGH ENERGY PHYSICS, 2017(8) [10.1007/JHEP08(2017)042].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/167867
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