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Lifshitz Scale Anomalies

Authors
  • Arav, Igal
  • Chapman, Shira
  • Oz, Yaron
Type
Published Article
Publication Date
Oct 21, 2014
Submission Date
Oct 21, 2014
Identifiers
DOI: 10.1007/JHEP02(2015)078
Source
arXiv
License
Yellow
External links

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.

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