Lifshitz anomalies, Ward identities and split dimensional regularization

Igal Arav, Yaron Oz, Avia Raviv-Moshe
2017 Journal of High Energy Physics  
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
more » ... spacetime description without a foliation structure. We discuss potential ambiguities in Lifshitz scale anomaly definitions.
doi:10.1007/jhep03(2017)088 fatcat:2tpuqwvvifh7thsoudnxzvy2re