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SUMMARY:Bootstrapping the Ising Model on the Lattice
DTSTART:20220926T140000
DTEND:20220926T150000
DTSTAMP:20260413T094556Z
UID:c8f5c3ec36a9e0d58cb39cabb7257e35b9fde31bfde564ec80272447
CATEGORIES:Conferences - Seminars
DESCRIPTION:Barak Gabai (Harvard U.\, Phys. Dept.)\nWe study the statisti
 cal Ising model of spins on the infinite lattice using a bootstrap method 
 that combines spin-flip identities with positivity conditions\, including 
 reflection positivity and Griffiths inequalities\, to derive rigorous two-
 sided bounds on spin correlators through semi-definite programming. For th
 e 2D Ising model on the square lattice\, the bootstrap bounds based on cor
 relators supported in a 13-site diamond-shaped region determine the neares
 t-spin correlator to within a small window\, which for a wide range of cou
 pling and magnetic field is narrower than the precision attainable with Mo
 nte Carlo methods. We also report preliminary results of the bootstrap bou
 nds for the 3D Ising model on the cubic lattice.
LOCATION:BSP 727 https://plan.epfl.ch/?room==BSP%20727 https://epfl.zoom.u
 s/j/67529935509
STATUS:CONFIRMED
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