{"paper":{"title":"Mode regularization, time slicing, Weyl ordering and phase space path integrals for quantum mechanical nonlinear sigma models","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Fiorenzo Bastianelli, Koenraad Schalm, Peter van Nieuwenhuizen","submitted_at":"1998-01-15T16:07:42Z","abstract_excerpt":"A simple, often invoked, regularization scheme of quantum mechanical path integrals in curved space is mode regularization: one expands fields into a Fourier series, performs calculations with only the first $M$ modes, and at the end takes the limit $M \\to \\infty$. This simple scheme does not manifestly preserve reparametrization invariance of the target manifold: particular noncovariant terms of order $\\hbar^2$ must be added to the action in order to maintain general coordinate invariance. Regularization by time slicing requires a different set of terms of order $\\hbar^2$ which can be derived"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9801105","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"}