Solving the 3D Ising Model with the Conformal Bootstrap

  title={Solving the 3D Ising Model with the Conformal Bootstrap},
  author={S. El-Showk and M. Paulos and David Poland and S. Rychkov and D. Simmons-Duffin and A. Vichi},
  journal={Physical Review D},
  • S. El-Showk, M. Paulos, +3 authors A. Vichi
  • Published 2012
  • Physics
  • Physical Review D
  • 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… CONTINUE READING
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