Pith. sign in

REVIEW 11 cited by

Carving out OPE space and precise O(2) model critical exponents

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1912.03324 v2 pith:KYZY25HF submitted 2019-12-06 hep-th cond-mat.stat-mechcond-mat.str-elhep-lat

Carving out OPE space and precise O(2) model critical exponents

Shai M. Chester , Walter Landry , Junyu Liu , David Poland , David Simmons-Duffin , Ning Su , Alessandro Vichi This is my paper
classification hep-th cond-mat.stat-mechcond-mat.str-elhep-lat
keywords bootstrapcoefficientscorrelationdimensionsexistingfunctionsmodelprecise
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

We develop new tools for isolating CFTs using the numerical bootstrap. A "cutting surface" algorithm for scanning OPE coefficients makes it possible to find islands in high-dimensional spaces. Together with recent progress in large-scale semidefinite programming, this enables bootstrap studies of much larger systems of correlation functions than was previously practical. We apply these methods to correlation functions of charge-0, 1, and 2 scalars in the 3d $O(2)$ model, computing new precise values for scaling dimensions and OPE coefficients in this theory. Our new determinations of scaling dimensions are consistent with and improve upon existing Monte Carlo simulations, sharpening the existing decades-old $8\sigma$ discrepancy between theory and experiment.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 11 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Understanding Anomalous Magnetothermal Transport via Disentangling Shear and Compression Phonons

    cond-mat.str-el 2026-03 unverdicted novelty 7.0

    Mode-selective spin-phonon coupling in spin-orbit-coupled Mott insulators generates a peak-dip-peak field dependence in spin heat current via Landauer transport and exact diagonalization.

  2. Efficient Conformal Block Evaluation with GoBlocks

    hep-th 2026-03 conditional novelty 7.0

    GoBlocks delivers faster recursive evaluation of conformal blocks than prior packages, enabling mixed-correlator bootstrap optimizations for the 3D Ising model and O(N) vectors.

  3. Tensor renormalization group approach to critical phenomena via symmetry-twisted partition functions

    hep-lat 2026-01 unverdicted novelty 7.0

    Tensor renormalization group computes symmetry-twisted partition functions to identify critical points solely from them, yielding Tc=2.2017(2) and nu=0.663(33) for the 3D O(2) model plus TBKT=0.8928(2) for the 2D O(2)...

  4. Bootstrap Cone of the Multicritical Deconfined Quantum Critical Point

    hep-th 2026-06 unverdicted novelty 6.0

    Conformal bootstrap with a sparseness condition produces a cone whose apex matches QMC and fuzzy sphere data for the DQCP, supporting multicriticality via a relevant SO(5) singlet scalar.

  5. Upgrading Extremal Flows in the Space of Derivatives

    hep-th 2026-04 unverdicted novelty 6.0

    A prototype successfully upgrades low-order extremal flow solutions to high numerical order for gap maximization in a simple spinning modular bootstrap test case.

  6. Conformal Data for the $O(2)$ Wilson-Fisher CFT in $(2+1)$-Dimensional Spacetime from Exact Diagonalization and Matrix Product States on the Fuzzy Sphere

    cond-mat.str-el 2026-04 unverdicted novelty 6.0

    Numerical extraction of scaling dimensions and OPE coefficients for 32 primary operators in the O(2) Wilson-Fisher CFT via fuzzy-sphere regularization shows agreement with bootstrap predictions.

  7. Conformal Bootstrap with Duality-Inspired Fusion Rule

    hep-th 2025-11 conditional novelty 6.0

    Imposing a duality-inspired fusion rule that forbids the [ε] sector from appearing in the [ε] × [ε] OPE yields numerical bounds on (Δ_σ, Δ_ε) that include the 2d Ising model but exclude the 3d Ising model.

  8. Functional Dimensional Regularization for O(N) Models

    hep-th 2026-04 unverdicted novelty 5.0

    Functional dimensional regularization applied to the O(N) universality class yields critical exponents comparable to advanced non-perturbative methods while retaining efficiency and rapid convergence.

  9. Understanding Anomalous Magnetothermal Transport via Disentangling Shear and Compression Phonons

    cond-mat.str-el 2026-03 unverdicted novelty 5.0

    Mode-selective spin-phonon coupling of shear versus compression phonons produces a peak-dip-peak magnetothermal heat current in spin-orbit-coupled Mott insulators.

  10. Efficient Conformal Block Evaluation with GoBlocks

    hep-th 2026-03 unverdicted novelty 5.0

    GoBlocks is a parallel Go package for recursive conformal-block evaluation that speeds moderate-precision bootstrap work and is demonstrated on mixed-correlator 3D Ising optimisation.

  11. The $O(N)$ Free-Scalar and Wilson-Fisher Conformal Field Theories on the Fuzzy Sphere

    cond-mat.str-el 2025-12 conditional novelty 5.0

    Fuzzy-sphere Hamiltonians realize the O(2), O(3) and O(4) Wilson-Fisher and free-scalar CFTs numerically, with spectra and correlators matching conformal bootstrap expectations.