Lifshitz anomalies, Ward identities and split dimensional regularization

Igal Arav*, Yaron Oz, Avia Raviv-Moshe

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number88
JournalJournal of High Energy Physics
Issue number3
StatePublished - 1 Mar 2017


  • Anomalies in Field and String Theories
  • Space-Time Symmetries


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