Work

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

Year: 2016

Type: article

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.

Source: Physical review. E

DOI: 10.1103/physreve.93.012144

Authors: Bertrand Delamotte, Matthieu Tissier, Nicolás Wschebor

Institutions: Centre National de la Recherche Scientifique, Laboratoire de Physique Théorique de la Matière Condensée, Université Pierre-et-Marie-Curie, Universidad de la República de Uruguay

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1552373775

FWCI: 3.364

Cites: 40

Cited by: 42

Related to: 10