TY  - EJOUR
AU  - Behan, Connor
AU  - Lauria, Edoardo
AU  - Nocchi, Maria
AU  - van Vliet, Philine
TI  - Analytic and numerical bootstrap for the long-range Ising model
IS  - DESY-23-175
M1  - PUBDB-2023-06458
M1  - DESY-23-175
M1  - arXiv:2311.02742
PY  - 2023
N1  - 49 + 13 pages, 10 figures, 1 ancillary notebook
AB  - We combine perturbation theory with analytic and numerical bootstrap techniques to study the critical point of the long-range Ising (LRI) model in two and three dimensions. This model interpolates between short-range Ising (SRI) and mean-field behaviour. We use the Lorentzian inversion formula to compute infinitely many three-loop corrections in the two-dimensional LRI near the mean-field end. We further exploit the exact OPE relations that follow from bulk locality of the LRI to compute infinitely many two-loop corrections near the mean-field end, as well as some one-loop corrections near SRI. By including such exact OPE relations in the crossing equations for LRI we set up a very constrained bootstrap problem, which we solve numerically using SDPB. We find a family of sharp kinks for two- and three-dimensional theories which compare favourably to perturbative predictions, as well as some Monte Carlo simulations for the two-dimensional LRI.
KW  - dimension, 2 (INSPIRE)
KW  - dimension, 3 (INSPIRE)
KW  - numerical calculations, Monte Carlo (INSPIRE)
KW  - bootstrap (INSPIRE)
KW  - long-range (INSPIRE)
KW  - operator product expansion (INSPIRE)
KW  - critical phenomena (INSPIRE)
KW  - short-range (INSPIRE)
KW  - family (INSPIRE)
KW  - Ising model (INSPIRE)
KW  - kink (INSPIRE)
KW  - perturbation theory (INSPIRE)
KW  - crossing (INSPIRE)
LB  - PUB:(DE-HGF)25
DO  - DOI:10.3204/PUBDB-2023-06458
UR  - https://bib-pubdb1.desy.de/record/597168
ER  -