{"paper":{"title":"Comparison of the O(3) Bootstrap $\\sigma$-Model with the Lattice Regularization at Low Energies","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-lat","authors_text":"Adrian Patrascioiu, Erhard Seiler, Ferenc Niedermayer, J\\'anos Balog, Max Niedermaier, Peter Weisz","submitted_at":"1999-03-25T10:34:08Z","abstract_excerpt":"The renormalized coupling $\\gr$ defined through the connected 4-point function at zero external momentum in the non-linear O(3) sigma-model in two dimensions, is computed in the continuum form factor bootstrap approach with estimated error $\\sim 0.3%$. New high precision data are presented for $\\gr$ in the lattice regularized theory with standard action for nearly thermodynamic lattices $L/\\xi\\sim 7$ and correlation lengths $\\xi$ up to $\\sim 122$ and with the fixed point action for correlation lengths up to $\\sim 12$. The agreement between the form factor and lattice results is within $\\sim 1%"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9903036","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-lat/9903036/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}