{"paper":{"title":"Cutoff and lattice effects in the $\\varphy^4$ theory of confined systems","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"V. Dohm, X.S. Chen","submitted_at":"1999-03-05T18:09:45Z","abstract_excerpt":"We study cutoff and lattice effects in the O(n) symmetric $\\phi^4$ theory for a $d$-dimensional cubic geometry of size $L$ with periodic boundary conditions. In the large-N limit above $T_c$, we show that $\\phi^4$ field theory at finite cutoff $\\Lambda$ predicts the nonuniversal deviation $\\sim (\\Lambda L)^{-2}$ from asymptotic bulk critical behavior that violates finite-size scaling and disagrees with the deviation $\\sim e^{-cL}$ that we find in the $\\phi^4$ lattice model. The exponential size dependence requires a non-perturbative treatment of the $\\phi^4$ model. Our arguments indicate that "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9903102","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"}