Solving the 3D Ising Model with the Conformal Bootstrap

@article{ElShowk2012SolvingT3,
  title={Solving the 3D Ising Model with the Conformal Bootstrap},
  author={Sheer El-Showk and Miguel F. Paulos and David Poland and Slava Rychkov and David Simmons-Duffin and Alessandro Vichi},
  journal={Physical Review D},
  year={2012},
  volume={86},
  pages={025022}
}
We study the constraints of crossing symmetry and unitarity in general 3D conformal field theories. In doing so we derive new results for conformal blocks appearing in four-point functions of scalars and present an efficient method for their computation in arbitrary space-time dimension. Comparing the resulting bounds on operator dimensions and product-expansion coefficients in 3D to known results, we find that the 3D Ising model lies at a corner point on the boundary of the allowed parameter… Expand
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