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Addendum: Long-range multi-scalar models at three loops

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arxiv 2411.00805 v2 pith:7QLIQJQ5 submitted 2024-10-21 hep-th cond-mat.stat-mech

Dario Benedetti , Razvan Gurau , Sabine Harribey This is my paper · ORCID
classification hep-thcond-mat.stat-mech
keywords modeldiagramlong-rangemethodmulti-scalaraddendumancillaryarxiv
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We correct the computation of one Feynman diagram in the three-loop beta functions for the long-range quartic multi-scalar model, originally presented in (2020 J. Phys. A: Math. Theor. 53 445008) [arXiv:2007.04603]. The correction requires the use of a different method than in the original paper, and we give here full details about the method. We then report the updated numerics for critical exponents of the Ising model, vector model, cubic model and bifundamental model. Mathematica files for the numerical evaluation of the corrected diagram are provided in ancillary.

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  1. 1d Ising model with $1/r^{1.99}$ interaction

    hep-th 2024-12 conditional novelty 8.0 of 10

    The authors propose a weakly coupled dual field theory for the 1D long-range Ising CFT near s = 1, derive an exact spectrum at s = 1, and find matching perturbative CFT data from RG and bootstrap calculations.

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