Scale invariance implies conformal invariance for the three-dimensional Ising model.

@article{Delamotte2016ScaleII,
  title={Scale invariance implies conformal invariance for the three-dimensional Ising model.},
  author={B. Delamotte and M. Tissier and N. Wschebor},
  journal={Physical review. E},
  year={2016},
  volume={93 1},
  pages={
          012144
        }
}
  • B. Delamotte, M. Tissier, N. Wschebor
  • Published 2016
  • Mathematics, Medicine, Physics
  • Physical review. E
  • Using the Wilson renormalization group, we show that if no integrated vector operator of scaling dimension -1 exists, then scale invariance implies conformal invariance. By using the Lebowitz inequalities, we prove that this necessary condition is fulfilled in all dimensions for the Ising universality class. This shows, in particular, that scale invariance implies conformal invariance for the three-dimensional Ising model. 
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    References

    SHOWING 1-10 OF 81 REFERENCES
    N
    • 99,101
    • PDF
    C
    • J. Lackie
    • The Dictionary of Cell & Molecular Biology
    • 2013
    • 129,284
    • PDF
    New York
    • 3,201
    • PDF
    P
    • J. Lackie
    • The Dictionary of Cell & Molecular Biology
    • 2013
    • 124,312
    • PDF
    Commun
    • Math. Phys. 35, 87
    • 1974
    Phys
    • Lett. B 335, 364
    • 1994
    • 1976
    • 1997