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arXiv · 1612.03500

Lifshitz Anomalies, Ward Identities and Split Dimensional Regularization

Igal Arav·Yaron Oz·Avia Raviv-Moshe
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Abstract

We analyze the structure of the stress-energy tensor correlation functions in Lifshitz field theories and construct the corresponding anomalous Ward identities. We develop a framework for calculating the anomaly coefficients that employs a split dimensional regularization and the pole residues. We demonstrate the procedure by calculating the free scalar Lifshitz scale anomalies in $2+1$ spacetime dimensions. We find that the analysis of the regularization dependent trivial terms requires a curved spacetime description without a foliation structure. We discuss potential ambiguities in Lifshitz scale anomaly definitions.

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Igal Arav, Yaron Oz, Avia Raviv-Moshe. 2017-03-29. Lifshitz Anomalies, Ward Identities and Split Dimensional Regularization. https://doi.org/10.1007/jhep03(2017)088

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