{"paper":{"title":"Critical amplitudes in two-dimensional theories","license":"","headline":"","cross_cats":["cond-mat","hep-lat"],"primary_cat":"hep-th","authors_text":"A.V. Smilga","submitted_at":"1996-07-18T12:34:45Z","abstract_excerpt":"We derive exact analytical expressions for the critical amplitudes $A_\\psi$, $A_{gap}$ in the scaling laws for the fermion condensate $<\\bar \\psi \\psi> = A_\\psi m^{1/3} g^{2/3}$ and for the mass of the lightest state $M_{gap} = A_{gap} m^{2/3} g^{1/3}$ in the Schwinger model with two light flavors, $m \\ll g$. $A_\\psi$ and $A_{gap}$ are expressed via certain universal amplitude ratios being calculated recently in TBA technique and the known coefficient $A_{\\psi\\psi}$ in the scaling law $<\\bar \\psi \\psi (x) \\bar \\psi \\psi (0)> = A_{\\psi\\psi} (g/x)$ at the critical point. Numerically, $A_\\psi = -"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9607154","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"}