We classify the trace anomaly for parity-invariant non-relativistic Schrodinger theories in 2 + 1 dimensions coupled to background Newton-Cartan gravity. The general anomaly structure looks very different from the one in the z = 2 Lifshitz theories. The type A content of the anomaly is remarkably identical to that of the relativistic 3 + 1 dimensional case, suggesting the conjecture that an a-theorem should exist also in the Newton-Cartan context.
Auzzi, R., Baiguera, S., Nardelli, G., On Newton-Cartan trace anomalies, <<JOURNAL OF HIGH ENERGY PHYSICS>>, 2016; (02): 0-15. [doi:10.1007/JHEP02(2016)003] [http://hdl.handle.net/10807/76097]
On Newton-Cartan trace anomalies
Auzzi, Roberto;Nardelli, Giuseppe
2016
Abstract
We classify the trace anomaly for parity-invariant non-relativistic Schrodinger theories in 2 + 1 dimensions coupled to background Newton-Cartan gravity. The general anomaly structure looks very different from the one in the z = 2 Lifshitz theories. The type A content of the anomaly is remarkably identical to that of the relativistic 3 + 1 dimensional case, suggesting the conjecture that an a-theorem should exist also in the Newton-Cartan context.
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