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A New Theory of Anyons

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arxiv 1205.6816 v1 pith:QUCPOABV submitted 2012-05-30 hep-th cond-mat.str-elhep-ph

A. Liam Fitzpatrick , Shamit Kachru , Jared Kaplan , Emanuel Katz , Jay G. Wacker This is my paper · ORCID
classification hep-thcond-mat.str-elhep-ph
keywords anyonicbosonsfermionsinteractionsphasesstatisticssymmetriestheory
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We study a 2+1 dimensional theory of bosons and fermions with an omega ~ k^2 dispersion relation. The most general interactions consistent with specific symmetries impart fractional statistics to the fermions. Unlike examples involving Chern-Simons gauge theories, our statistical phases derive from the exchange of gapless propagating bosons with marginal interactions. Even though no gap exists, we show that the anyonic statistics are precisely defined. Symmetries combine with the vacuum structure to guarantee the non-renormalization of our anyonic phases.

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Cited by 1 Pith paper

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  1. Holomorphic Structure and Quantum Critical Points in Supersymmetric Lifshitz Field Theories

    hep-th 2019-08 conditional novelty 8.0 of 10

    A new class of N=2 holomorphic Lifshitz supersymmetric models is shown to possess exact lines of quantum critical fixed points with coupling-dependent dynamical exponent z.

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