title: Scale invariance implies conformal invariance for the three-dimensional Ising model.
abstract: 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.
authors: LPTMC, UPMC, CNRS UMR 7600, Sorbonne Universités, 4, place Jussieu, 75252 Paris Cedex 05, France.
authors: Bertrand
authors: B
authors: Delamotte
authors: LPTMC, UPMC, CNRS UMR 7600, Sorbonne Universités, 4, place Jussieu, 75252 Paris Cedex 05, France.
authors: Matthieu
authors: M
authors: Tissier
authors: LPTMC, UPMC, CNRS UMR 7600, Sorbonne Universités, 4, place Jussieu, 75252 Paris Cedex 05, France.|Instituto de Física, Facultad de Ingeniería, Universidad de la República, J.H.y Reissig 565, 11000 Montevideo, Uruguay.
authors: Nicolás
authors: N
authors: Wschebor