Built on

S. Ferrara, A. F. Grillo, and R. Gatto, “Tensor representations of conformal algebra and conformally covariant operator product expansion,” Annals Phys
1973
Earlier work this paper cites.
A. M. Polyakov, “Nonhamiltonian approach to conformal quantum field theory,” Zh. Eksp. Teor. Fiz
1974
Earlier work this paper cites.
M. Campostrini, M. Hasenbusch, A. Pelissetto, P. Rossi, and E. Vicari, “Critical exponents and equation of state of the three-dimensional Heisenberg universality class,” Phys.Rev
2002
Earlier work this paper cites.
J. Lipa, J. Nissen, D. Stricker, D. Swanson, and T. Chui, “Specific heat of liquid helium in zero gravity very near the lambda point,” Phys.Rev
2003
Earlier work this paper cites.
M. Campostrini, M. Hasenbusch, A. Pelissetto, and E. Vicari, “The Critical exponents of the superfluid transition in He-4,” Phys.Rev
2006
Earlier work this paper cites.
M. Hasenbusch, “Finite size scaling study of lattice models in the three-dimensional Ising universality class,” Phys.Rev
Original
2010
Earlier work this paper cites.
S. El-Showk, M. F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin, and A. Vichi, “Solving the 3D Ising Model with the Conformal Bootstrap,” Phys.Rev
Original
2012
Earlier work this paper cites.

Similar

D. Poland, D. Simmons-Duffin, and A. Vichi, “Carving Out the Space of 4D CFTs,” JHEP
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2012
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F. Gliozzi, “More constraining conformal bootstrap,” Phys.Rev.Lett
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2013
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C. Beem, L. Rastelli, and B. C. van Rees, “The 𝒩 = 4 \mathcal{N}=4 Superconformal Bootstrap,” Phys.Rev.Lett
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2013
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S. El-Showk, M. F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin, et al
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2014
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F. Kos, D. Poland, and D. Simmons-Duffin, “Bootstrapping Mixed Correlators in the 3D Ising Model,” JHEP
Original

Then

Y. Nakayama and T. Ohtsuki, “Five dimensional O ⁡ ( N ) O(N) -symmetric CFTs from conformal bootstrap,” Phys.Lett
Original
2014
Later among the works it cites.
F. Kos, D. Poland, D. Simmons-Duffin, and A. Vichi, “Bootstrapping the O(N) Archipelago,” JHEP
Original
2015
Later among the works it cites.
M. Caselle, G. Costagliola, and N. Magnoli, “Numerical determination of the operator-product-expansion coefficients in the 3D Ising model from off-critical correlators,” Phys. Rev
Original
2015
Later among the works it cites.
Z. Komargodski and D. Simmons-Duffin, “The Random-Bond Ising Model in 2.01 and 3 Dimensions,” to appear
2015
Later among the works it cites.
D. Poland and A. Stergiou, “Exploring the Minimal 4D 𝒩 = 1 \mathcal{N}=1 SCFT,” JHEP
Original

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2016

Precision Islands in the Ising and $O(N)$ Models

Kos, Filip, Poland, David, Simmons-Duffin, David et al.

Understand

We make precise determinations of the leading scaling dimensions and operator product expansion (OPE) coefficients in the 3d Ising, $O(2)$, and $O(3)$ models from the conformal bootstrap with mixed correlators.

We improve on previous studies by scanning over possible relative values of the leading OPE coefficients, which incorporates the physical information that there is only a single operator at a given scaling dimension.
The scaling dimensions and OPE coefficients obtained for the 3d Ising model, $(\Delta_{\sigma}, \Delta_{\epsilon},\lambda_{\sigma\sigma\epsilon}, \lambda_{\epsilon\epsilon\epsilon}) = (0.5181489(10), 1.412625(10), 1.0518537(41), 1.532435(19))$, give the most precise determinations of these quantities to date.

Built on

S. Ferrara, A. F. Grillo, and R. Gatto, “Tensor representations of conformal algebra and conformally covariant operator product expansion,” Annals Phys
1973
Earlier work this paper cites.
A. M. Polyakov, “Nonhamiltonian approach to conformal quantum field theory,” Zh. Eksp. Teor. Fiz
1974
Earlier work this paper cites.
M. Campostrini, M. Hasenbusch, A. Pelissetto, P. Rossi, and E. Vicari, “Critical exponents and equation of state of the three-dimensional Heisenberg universality class,” Phys.Rev
2002
Earlier work this paper cites.
J. Lipa, J. Nissen, D. Stricker, D. Swanson, and T. Chui, “Specific heat of liquid helium in zero gravity very near the lambda point,” Phys.Rev
2003
Earlier work this paper cites.
M. Campostrini, M. Hasenbusch, A. Pelissetto, and E. Vicari, “The Critical exponents of the superfluid transition in He-4,” Phys.Rev
2006
Earlier work this paper cites.
M. Hasenbusch, “Finite size scaling study of lattice models in the three-dimensional Ising universality class,” Phys.Rev
Original
2010
Earlier work this paper cites.
S. El-Showk, M. F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin, and A. Vichi, “Solving the 3D Ising Model with the Conformal Bootstrap,” Phys.Rev
Original
2012
Earlier work this paper cites.