{"paper":{"title":"The O(n) $\\phi^4$ model with free surfaces in the large-$n$ limit: Some exact results for boundary critical behaviour, fluctuation-induced forces and distant-wall corrections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"H.W. Diehl, S.B. Rutkevich","submitted_at":"2014-01-07T12:32:27Z","abstract_excerpt":"The $O(n)$ ${\\phi}^4$ model on a slab $\\mathbb{R}^{d-1}\\times[0,L]$ bounded by free surfaces is studied for $2<d<4$ in the limit $n\\to\\infty$. The self-consistent potential $V(z)$ which the exact $n\\to\\infty$ solution of the model involves is analysed by means of boundary operator expansions. Building on the known exact $n\\to\\infty$ solution for $V(z)$ in the semi-infinite case $L=\\infty$ at the bulk critical point, we exactly determine two types of corrections to this potential: (i) those linear in the temperature scaling field $t$ at $L=\\infty$, and (ii) the leading $L$-dependent (distant-wa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.1357","kind":"arxiv","version":2},"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"}