Abstract
The -dimensional long-range Ising model, defined by spin-spin interactions decaying with the distance as the power , admits a second-order phase transition with continuously varying critical exponents. At , the phase transition crosses over to the usual short-range universality class. The standard field-theoretic description of this family of models is strongly coupled at the crossover. We find a new description, which is instead weakly coupled near the crossover, and use it to compute critical exponents. The existence of two complementary UV descriptions of the same long-range fixed point provides a novel example of infrared duality.
- Received 29 March 2017
DOI:https://doi.org/10.1103/PhysRevLett.118.241601
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
Published by the American Physical Society