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Boundary Criticality of the 3D O($N$) Model: From Normal to Extraordinary

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arxiv 2111.03613 v2 pith:FW7JNPFQ submitted 2021-11-05 cond-mat.stat-mech cond-mat.str-elhep-th

Francesco Parisen Toldin , Max A. Metlitski This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.str-elhep-th
keywords classextraordinarynormaluniversalityboundarymodelamplitudescarlo
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abstract

It was recently realized that the three-dimensional O($N$) model possesses an extraordinary boundary universality class for a finite range of $N \ge 2$. For a given $N$, the existence and universal properties of this class are predicted to be controlled by certain amplitudes of the normal universality class, where one applies an explicit symmetry breaking field to the boundary. In this Letter, we study the normal universality class for $N = 2, 3$ using Monte Carlo simulations on an improved lattice model and extract these universal amplitudes. Our results are in good agreement with direct Monte Carlo studies of the extraordinary universality class serving as a nontrivial quantitative check of the connection between the normal and extraordinary classes.

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Cited by 4 Pith papers

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

  1. Long-Range Order in a Strictly Short-Range Quasi-2D XY Model: When Critical Fluctuations Matter

    cond-mat.stat-mech 2025-06 conditional novelty 8.0 of 10

    In a strictly short-range XY model made of a plane intersected by parallel planes, true long-range order appears along the intersection lines when the parallel planes enter a Berezinskii-Kosterlitz-Thouless critical phase.

  2. Higher loops in AdS: applications to boundary CFT

    hep-th 2025-06 conditional novelty 7.0 of 10

    Four-loop free energy and three-loop one-point functions in AdS produce new epsilon-expansion estimates for boundary central charges of the critical O(N) model in d=3.

  3. Accurate boundary bootstrap for the three-dimensional O($N$) normal universality class

    hep-th 2025-08 conditional novelty 6.0 of 10

    High-truncation eta-minimization bootstrap yields accurate boundary critical amplitudes for the 3d O(N) normal universality class, resolving prior Monte Carlo discrepancies and giving new Ising boundary data.

  4. 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 of 10

    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.

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