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

  title={Solving the 3d Ising Model with the Conformal Bootstrap II. \$\$c\$\$c-Minimization and Precise Critical Exponents},
  author={Sheer El-Showk and Miguel F. Paulos and David Poland and Slava Rychkov and David Simmons-Duffin and Alessandro Vichi},
  journal={Journal of Statistical Physics},
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 $$c$$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 $$\mathbb {Z}_2$$Z2-even operator dimensions and their OPE coefficients. We observe that a sharp transition in the… Expand
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