TY  - JOUR
AU  - Behan, Connor
AU  - Lauria, Edoardo
AU  - Nocchi, Maria
AU  - Vliet, Philine Julia van
TI  - Analytic and numerical bootstrap for the long-range Ising model
JO  - Journal of high energy physics
VL  - 2024
IS  - 3
SN  - 1029-8479
CY  - [Trieste]
PB  - SISSA
M1  - PUBDB-2024-07636
M1  - DESY-23-175
M1  - arXiv:2311.02742
SP  - 136
PY  - 2024
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 threedimensions. This model interpolates between short-range Ising (SRI) and mean-feld behaviour. We use the Lorentzian inversion formula to compute infnitely many three-loopcorrections in the two-dimensional LRI near the mean-feld end. We further exploit theexact OPE relations that follow from bulk locality of the LRI to compute infnitely manytwo-loop corrections near the mean-feld 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 veryconstrained bootstrap problem, which we solve numerically using SDPB. We fnd a family ofsharp kinks for two- and three-dimensional theories which compare favourably to perturbativepredictions, as well as some Monte Carlo simulations for the two-dimensional LRI.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:001189258800002
DO  - DOI:10.1007/JHEP03(2024)136
UR  - https://bib-pubdb1.desy.de/record/619443
ER  -