{"paper":{"title":"Exact summation of leading infrared logarithms in 2D effective field theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Jonas Linzen, Kirill M. Semenov-Tian-Shansky, Maxim V. Polyakov, Nika S. Sokolova","submitted_at":"2018-11-29T16:27:39Z","abstract_excerpt":"A method of exact all-order summation of leading infrared logarithms in two dimensional massless $\\Phi^4$-type non-renormalizable effective field theories (EFTs) is developed. The method is applied to the ${\\rm O}(N)$-symmetric EFT, which is a two-dimensional sibling of the four dimensional ${\\rm O}(N+1)/{\\rm O}(N)$ sigma-model. For the first time the exact all-order summation of the $\\left(E^{2} \\ln(1/E)\\right)^n$ contributions (chiral logarithms) for the $2 \\to 2$ scattering amplitudes is performed in closed analytical form. The cases when the resulting amplitudes turn to be meromorphic func"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.12289","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"}