Bootstrapping the 3d Ising stress tensor

2024/11/22 by Cyuan-Han Chang, Vasiliy A. Dommes, Vasiliy Dommes +8 · 2 voices · 17 citations
Physics and Astronomy · Mathematics · #Theoretical and Computational Physics #Quantum many-body systems #Markov Chains and Monte Carlo Methods

paper · pdf · doi:10.1007/jhep03(2025)136

Abstract

A bstract We compute observables of the critical 3d Ising model to high precision by applying the numerical conformal bootstrap to mixed correlators of the leading scalar operators σ and ϵ , and the stress tensor T μν . We obtain new precise determinations of scaling dimensions (∆ σ , ∆ ϵ ) = (0.518148806(24), 1.41262528(29)) as well as OPE coefficients involving σ , ϵ , and T μν . We also describe several improvements made along the way to algorithms and software tools for the numerical bootstrap.

Cited by

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• F-theorem for Quantum Field Theories in Anti-de Sitter Space
• Supercritical-subcritical correspondence, asymmetric effects and antisymmetric corrections near a critical point
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• Conformal Bootstrap with Duality-Inspired Fusion Rule
• Exact nematic and mixed magnetic phases driven by competing orders on the pyrochlore lattice
• Monte Carlo study of the O(2)-invariant ϕ⁴ theory with a cubic perturbation in three dimensions
• Adiabatic transport of neural network quantum states
• One-dimensional long-range Ising model: two (almost) equivalent approximations
• Accurate bootstrap bounds from optimal interpolation
• Accurate boundary bootstrap for the three-dimensional O(N) normal universality class
• Infinite towers of 2d symmetry algebras from Carrollian limit of 3d CFT
• Holographic Correlators from Thermal Bootstrap
• Detecting the Largest Correlations using the Correlation Density Matrix: a Quantum Monte Carlo Approach
• Variational Multi-Gaussian Phase-Space Dynamics via Automatic Differentiation
• Multi-loop spectra in general scalar EFTs and CFTs
• Redundancy Channels in the Conformal Bootstrap

Discussions

• More precise Ising critical exponents just dropped arxiv.org/abs/2411.15300 🧪 ⚛️ [bsky, 26 points, 3 comments]
• Mina kollegor har tagit fram de i särklass bästa resultaten för de kritiska exponenterna i 3d-modellen: arxiv.org/abs/2411.15300 Sju värdesiffrors precision. Så full aktivitet 100 år senare :) [bsky, 1 points, 0 comments]

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• The Effective Bootstrap
• Bootstrapping the \cN=1 SCFT in three dimensions
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