{"paper":{"title":"On higher order geometric and renormalisation group flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Kartik Prabhu, Sanjit Das, Sayan Kar","submitted_at":"2010-02-18T09:35:45Z","abstract_excerpt":"Renormalisation group flows of the bosonic nonlinear \\sigma-model are governed, perturbatively, at different orders of \\alpha', by the perturbatively evaluated \\beta--functions. In regions where \\frac{\\alpha'}{R_c^2} << 1  the flow equations at various orders in \\alpha' can be thought of as \\em approximating the full, non-perturbative RG flow. On the other hand, taking a different viewpoint, we may consider the abovementioned RG flow equations as viable {\\em geometric} flows in their own right and without any reference to the RG aspect. Looked at as purely geometric flows where higher order te"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.3464","kind":"arxiv","version":3},"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"}