{"paper":{"title":"1-Loop improved lattice action for the nonlinear sigma-model","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"G. Mack, G. Palma, M. Bartels","submitted_at":"1999-09-23T14:06:48Z","abstract_excerpt":"In this paper we show the Wilson effective action for the 2-dimensional O(N+1)-symmetric lattice nonlinear sigma-model computed in the 1-loop approximation for the nonlinear choice of blockspin $\\Phi(x)$, $\\Phi(x)= \\Cav\\phi(x)/{|\\Cav\\phi(x)|}$,where $\\Cav$ is averaging of the fundamental field $\\phi(z)$ over a square $x$ of side $\\tilde a$.\n  The result for $S_{eff}$ is composed of the classical perfect action with a renormalized coupling constant $\\beta_{eff}$, an augmented contribution from a Jacobian, and further genuine 1-loop correction terms. Our result extends Polyakov's calculation whi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9909149","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":""},"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"}