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000619443 1001_ $$00000-0002-2244-6391$$aBehan, Connor$$b0
000619443 245__ $$aAnalytic and numerical bootstrap for the long-range Ising model
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000619443 520__ $$aWe combine perturbation theory with analytic and numerical bootstrap techniques to study the critical point of the long-range Ising (LRI) model in two and threedimensions. This model interpolates between short-range Ising (SRI) and mean-feld behaviour. We use the Lorentzian inversion formula to compute infnitely many three-loopcorrections in the two-dimensional LRI near the mean-feld end. We further exploit theexact OPE relations that follow from bulk locality of the LRI to compute infnitely manytwo-loop corrections near the mean-feld end, as well as some one-loop corrections near SRI.By including such exact OPE relations in the crossing equations for LRI we set up a veryconstrained bootstrap problem, which we solve numerically using SDPB. We fnd a family ofsharp kinks for two- and three-dimensional theories which compare favourably to perturbativepredictions, as well as some Monte Carlo simulations for the two-dimensional LRI.
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000619443 7001_ $$0P:(DE-HGF)0$$aLauria, Edoardo$$b1$$eCorresponding author
000619443 7001_ $$00009-0007-4334-2421$$aNocchi, Maria$$b2
000619443 7001_ $$0P:(DE-H253)PIP1090382$$aVliet, Philine Julia van$$b3
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