On Newton-Cartan trace anomalies

Roberto Auzzi; Stefano Baiguera; Giuseppe Nardelli

doi:10.1007/JHEP02(2016)003

On Newton-Cartan trace anomalies

Roberto Auzzi, Stefano Baiguera, Giuseppe Nardelli

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

We classify the trace anomaly for parity-invariant non-relativistic Schrödinger 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.

Original language	English
Article number	3
Pages (from-to)	1-16
Number of pages	16
Journal	Journal of High Energy Physics
Volume	2016
Issue number	2
DOIs	https://doi.org/10.1007/JHEP02(2016)003
State	Published - 1 Feb 2016
Externally published	Yes

Keywords

Anomalies in Field and String Theories
Renormalization Group
Space-Time Symmetries

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP02(2016)003

Cite this

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title = "On Newton-Cartan trace anomalies",

abstract = "We classify the trace anomaly for parity-invariant non-relativistic Schr{\"o}dinger 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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AU - Nardelli, Giuseppe

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N2 - We classify the trace anomaly for parity-invariant non-relativistic Schrödinger 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.

AB - We classify the trace anomaly for parity-invariant non-relativistic Schrödinger 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.

KW - Anomalies in Field and String Theories

KW - Renormalization Group

KW - Space-Time Symmetries

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On Newton-Cartan trace anomalies

Abstract

Keywords

ASJC Scopus subject areas

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