Lifshitz scale anomalies

Igal Arav, Shira Chapman, Yaron Oz

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

Abstract

We analyse scale anomalies in Lifshitz field theories, formulated as the relative cohomology of the scaling operator with respect to foliation preserving diffeomorphisms. We construct a detailed framework that enables us to calculate the anomalies for any number of spatial dimensions, and for any value of the dynamical exponent. We derive selection rules, and establish the anomaly structure in diverse universal sectors. We present the complete cohomologies for various examples in one, two and three space dimensions for several values of the dynamical exponent. Our calculations indicate that all the Lifshitz scale anomalies are trivial descents, called B-type in the terminology of conformal anomalies. However, not all the trivial descents are cohomologically non-trivial. We compare the conformal anomalies to Lifshitz scale anomalies with a dynamical exponent equal to one.

Original languageEnglish
Article number78
JournalJournal of High Energy Physics
Volume2015
Issue number2
DOIs
StatePublished - 1 Feb 2015
Externally publishedYes

Keywords

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

Fingerprint

Dive into the research topics of 'Lifshitz scale anomalies'. Together they form a unique fingerprint.

Cite this