TY - JOUR
T1 - Long-Range Critical Exponents near the Short-Range Crossover
AU - Behan, Connor
AU - Rastelli, Leonardo
AU - Rychkov, Slava
AU - Zan, Bernardo
N1 - Publisher Copyright:
© 2017 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the «https://creativecommons.org/licenses/by/4.0/» 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.
PY - 2017/6/15
Y1 - 2017/6/15
N2 - The d-dimensional long-range Ising model, defined by spin-spin interactions decaying with the distance as the power 1/rd+s, admits a second-order phase transition with continuously varying critical exponents. At s=s∗, 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.
AB - The d-dimensional long-range Ising model, defined by spin-spin interactions decaying with the distance as the power 1/rd+s, admits a second-order phase transition with continuously varying critical exponents. At s=s∗, 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.
UR - https://www.scopus.com/pages/publications/85020510066
U2 - 10.1103/PhysRevLett.118.241601
DO - 10.1103/PhysRevLett.118.241601
M3 - Article
C2 - 28665666
AN - SCOPUS:85020510066
SN - 0031-9007
VL - 118
JO - Physical Review Letters
JF - Physical Review Letters
IS - 24
M1 - 241601
ER -