{"paper":{"title":"Universality of low-energy scattering in (2+1) dimensions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Andre Martin, Khosrow Chadan, N.N. Khuri, Tai Tsun Wu","submitted_at":"1998-05-07T09:29:47Z","abstract_excerpt":"We prove that, in (2+1) dimensions, the S-wave phase shift, $ \\delta_0(k)$, k being the c.m. momentum, vanishes as either $\\delta_0 \\to {c\\over \\ln (k/m)} or \\delta_0 \\to O(k^2)$ as $k\\to 0$. The constant $c$ is universal and $c=\\pi/2$. This result is established first in the framework of the Schr\\\"odinger equation for a large class of potentials, second for a massive field theory from proved analyticity and unitarity, and, finally, we look at perturbation theory in $\\phi_3^4$ and study its relation to our non-perturbative result. The remarkable fact here is that in n-th order the perturbative"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9805036","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"}