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Conformal dimensions via large charge expansion

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arxiv 1707.00711 v3 pith:I7E7UC2D submitted 2017-07-03 hep-lat cond-mat.stat-mechhep-th

Debasish Banerjee , Shailesh Chandrasekharan , Domenico Orlando This is my paper · ORCID
classification hep-latcond-mat.stat-mechhep-th
keywords conformalchargedimensionsexpansionfixedseriesaccuratelyalgorithm
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We construct an efficient Monte Carlo algorithm that overcomes the severe signal-to-noise ratio problems and helps us to accurately compute the conformal dimensions of large-$Q$ fields at the Wilson-Fisher fixed point in the $O(2)$ universality class. Using it we verify a recent proposal that conformal dimensions of strongly coupled conformal field theories with a global $U(1)$ charge can be obtained via a series expansion in the inverse charge $1/Q$. We find that the conformal dimensions of the lowest operator with a fixed charge $Q$ are almost entirely determined by the first few terms in the series.

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Cited by 4 Pith papers

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  3. Bootstrapping the Simplest Deconfined Quantum Critical Point

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  4. Effective Field Theories for Material Media

    hep-th 2026-07 accept novelty 4.0 of 10

    Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.

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