{"paper":{"title":"Chern-Simons \"ground state\" from the path integral","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Z. Haba","submitted_at":"2025-03-23T12:04:29Z","abstract_excerpt":"We consider a path integral representation\n  of the time evolution $\\exp(-\\frac{i}{\\hbar}tH)$ for Lagrangians of the variable $A$ which can be represented in the form (quadratic in $Q$) ${\\cal L}(A)=\\frac{1}{2}Q(A){\\cal M}Q(A)+\\partial_{\\mu}L^{\\mu}$. We show that\n  $\\exp(-\\frac{i}{\\hbar}tH)\\exp(\\frac{i}{\\hbar}\\int d{\\bf x}L^{0}) =\\exp(\\frac{i}{\\hbar}\\int d{\\bf x}L^{0})$ up to an $A$-independent factor. We discuss examples of the states $\\exp(\\frac{i}{\\hbar}\\int d{\\bf x}L^{0})$ in quantum mechanics and in quantum field theory (the Chern-Simons states in Yang-Mills theory, Kodama states in quant"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.18039","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2503.18039/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"}