{"paper":{"title":"Quantum effective potential from discarded degrees of freedom","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"quant-ph","authors_text":"Luke M. Butcher","submitted_at":"2017-07-18T18:00:04Z","abstract_excerpt":"I obtain the quantum correction $\\Delta V_\\mathrm{eff}= (\\hbar^2/8m) [(1- 4\\xi \\frac{d+1}{d})(\\mathcal{S}')^2 + 2(1-4\\xi)\\mathcal{S}\"]$ that appears in the effective potential whenever a compact $d$-dimensional subspace (of volume $\\propto \\exp[\\mathcal{S}(x)]$) is discarded from the configuration space of a nonrelativistic particle of mass $m$ and curvature coupling parameter $\\xi$. This correction gives rise to a force $-\\langle\\Delta V_\\mathrm{eff}'\\rangle$ that pushes the expectation value $\\langle x\\rangle$ off its classical trajectory. Because $\\Delta V_\\mathrm{eff}$ does not depend on t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05789","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"}