Work

Lifshitz anomalies, Ward identities and split dimensional regularization

Year: 2017

Type: article

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.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep03(2017)088

Authors: Igal Arav, Yaron Oz, Avia Raviv-Moshe

Institution: Tel Aviv University

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Israel Academy of Sciences and Humanities, Israel Science Foundation, Israeli Centers for Research Excellence, Planning and Budgeting Committee of the Council for Higher Education of Israel

Awards: G2371702954, G3581418648, G4845656258