Non-relativistic scale anomalies

Igal Arav, Shira Chapman, Yaron Oz

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

Abstract

We extend the cohomological analysis in arXiv:1410.5831 of anisotropic Lifshitz scale anomalies. We consider non-relativistic theories with a dynamical critical exponent z = 2 with or without non-relativistic boosts and a particle number symmetry. We distinguish between cases depending on whether the time direction does or does not induce a foliation structure. We analyse both 1 + 1 and 2 + 1 spacetime dimensions. In 1 + 1 dimensions we find no scale anomalies with Galilean boost symmetries. The anomalies in 2 + 1 dimensions with Galilean boosts and a foliation structure are all B-type and are identical to the Lifshitz case in the purely spatial sector. With Galilean boosts and without a foliation structure we find also an A-type scale anomaly. There is an infinite ladder of B-type anomalies in the absence of a foliation structure with or without Galilean boosts. We discuss the relation between the existence of a foliation structure and the causality of the field theory.

Original languageEnglish
Article number158
JournalJournal of High Energy Physics
Volume2016
Issue number6
DOIs
StatePublished - 1 Jun 2016
Externally publishedYes

Keywords

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

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