We compute the leading part of the trace anomaly for a free non-relativistic scalar in 2 + 1 dimensions coupled to a background Newton-Cartan metric. The anomaly is proportional to 1/m, where m is the mass of the scalar. We comment on the implications of a conjectured a-theorem for non-relativistic theories with boost invariance.
Auzzi, R., Nardelli, G., Heat kernel for Newton-Cartan trace anomalies, <<JOURNAL OF HIGH ENERGY PHYSICS>>, 2016; 2016 (07): N/A-N/A. [doi:10.1007/JHEP07(2016)047] [http://hdl.handle.net/10807/91463]
Heat kernel for Newton-Cartan trace anomalies
Auzzi, RobertoPrimo
;Nardelli, GiuseppeUltimo
2016
Abstract
We compute the leading part of the trace anomaly for a free non-relativistic scalar in 2 + 1 dimensions coupled to a background Newton-Cartan metric. The anomaly is proportional to 1/m, where m is the mass of the scalar. We comment on the implications of a conjectured a-theorem for non-relativistic theories with boost invariance.
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