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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Arav, I., Oz, Y. & Raviv-Moshe, A. Lifshitz anomalies, Ward identities and split dimensional regularization. J. High Energ. Phys. 2017, 88 (2017). https://doi.org/10.1007/JHEP03(2017)088
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DOI: https://doi.org/10.1007/JHEP03(2017)088