Bootstrapping the 3d Ising Stress Tensor

Abstract

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 $\sigma$ and $\epsilon$, and the stress tensor $T_{\mu \nu }$. We obtain new precise determinations of scaling dimensions $({\Delta }_{\sigma },{\Delta }_{\epsilon })=(0.518148806(24),1.41262528(29))$ as well as OPE coefficients involving $\sigma$, $\epsilon$, and $T_{\mu \nu }$. We also describe several improvements made along the way to algorithms and software tools for the numerical bootstrap.

52 pages, 10 figures, 9 tables; v2: small updates to match JHEP version

References in corpus (7)

• Conformal collider physics: Energy and charge correlations
• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• The Lightcone Bootstrap and the Spectrum of the 3d Ising CFT
• Bootstrapping Mixed Correlators in the 3D Ising Model
• Bounds on 4D Conformal and Superconformal Field Theories
• Two- and three-point functions at criticality: Monte Carlo simulations of the improved three-dimensional Blume-Capel model

Cited by in corpus (22)

• Exact Diagonalization, Matrix Product States and Conformal Perturbation Theory Study of a 3D Ising Fuzzy Sphere Model
• The thermal bootstrap for the critical O(N) model
• The tricritical Ising CFT and conformal bootstrap
• Three-dimensional real space renormalization group with well-controlled approximations
• Conformal invariance constraints in the $O(N)$ models: a first study within the nonperturbative renormalization group
• Fractionalized fermionic multicriticality in anisotropic Kitaev spin-orbital liquids
• Lee-Yang-zero ratio method in three-dimensional Ising model
• Sparsity in the numerical six-point bootstrap
• Accurate boundary bootstrap for the three-dimensional O($N$) normal universality class
• A Fuzzy Sphere Journey in Critical Phenomena
• 100 Glorious Years of the Ising Model
• Stacked quantum Ising systems and quantum Ashkin-Teller model
• Ising Supercriticality and Universal Magnetocalorics in Spiral Antiferromagnet Nd${}_3$BWO${}_9$
• The $\mathcal{W}$-algebra bootstrap of 6d $\mathcal{N}=(2,0)$ theories
• Supercritical-subcritical correspondence, asymmetric effects and antisymmetric corrections near a critical point
• Detecting the Largest Correlations using the Correlation Density Matrix: a Quantum Monte Carlo Approach
• Moments and saddles of heavy CFT correlators
• Relationship between Heider links and Ising spins
• One-dimensional long-range Ising model: two (almost) equivalent approximations
• Effects of quenched disorder in three-dimensional lattice ${\mathbb{Z}}_2$ gauge Higgs models
• On the Wilson-Fisher fixed point in the limit of integer spacetime dimensions
• Conformal Bootstrap with Duality-Inspired Fusion Rule