Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents

Abstract

We use the conformal bootstrap to perform a precision study of the operator spectrum of the critical 3d Ising model. We conjecture that the 3d Ising spectrum minimizes the central charge c in the space of unitary solutions to crossing symmetry. Because extremal solutions to crossing symmetry are uniquely determined, we are able to precisely reconstruct the first several Z2-even operator dimensions and their OPE coefficients. We observe that a sharp transition in the operator spectrum occurs at the 3d Ising dimension Delta_sigma=0.518154(15), and find strong numerical evidence that operators decouple from the spectrum as one approaches the 3d Ising point. We compare this behavior to the analogous situation in 2d, where the disappearance of operators can be understood in terms of degenerate Virasoro representations.

55 pages, many figures; v2 - refs and comments added, to appear in a special issue of J.Stat.Phys. in memory of Kenneth Wilson

References in corpus (34)

• Bounding scalar operator dimensions in 4D CFT
• Critical Exponents of the N-vector model
• Holography from Conformal Field Theory
• Solving the 3D Ising Model with the Conformal Bootstrap
• The Analytic Bootstrap and AdS Superhorizon Locality
• Convexity and Liberation at Large Spin
• The Bootstrap Program for Boundary CFT_d
• Bootstrapping the O(N) Vector Models
• A Finite Size Scaling Study of Lattice Models in the three-dimensional Ising Universality Class
• OPE Convergence in Conformal Field Theory
• Bounds on 4D Conformal and Superconformal Field Theories
• Carving Out the Space of 4D CFTs
• 25th-order high-temperature expansion results for three-dimensional Ising-like systems on the simple cubic lattice
• Bootstrapping Conformal Field Theories with the Extremal Functional Method
• Radial Coordinates for Conformal Blocks
• Unitarity and the Holographic S-Matrix
• Critical exponents from optimised renormalisation group flows
• Universal Constraints on Conformal Operator Dimensions
• Nonperturbative renormalization group approach to the Ising model: a derivative expansion at order ${\partial }^4$
• Bounds in 4D Conformal Field Theories with Global Symmetry
• Conserved Currents, Consistency Relations and Operator Product Expansions in the Conformally Invariant O(N) Vector Model
• Conformal Field Theories in Fractional Dimensions
• Improved high-temperature expansion and critical equation of state of three-dimensional Ising-like systems
• Central Charge Bounds in 4D Conformal Field Theory
• Ising exponents from the functional renormalisation group
• Diagonal Limit for Conformal Blocks in d Dimensions
• O(N) models within the local potential approximation
• Constraining conformal field theories with a higher spin symmetry
• Quantum Criticality and the Kondo Lattice
• On RG Flow of tau_{RR} for Supersymmetric Field Theories in Three-Dimensions
• Conformal Bootstrap in Three Dimensions?
• Subleading critical exponents from the renormalisation group
• Lattice Radial Quantization: 3D Ising
• Universal amplitude ratios in finite-size scaling: three-dimensional Ising model

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