{"paper":{"title":"Field-Theoretical Analysis of Critical and Coexistence Singularities at Critical End Points","license":"","headline":"","cross_cats":["cond-mat.soft","hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"H. W. Diehl, M. Smock","submitted_at":"1999-08-22T08:26:18Z","abstract_excerpt":"Continuum models with critical end points are considered whose Hamiltonian ${\\mathcal{H}}[\\phi,\\psi]$ depends on two densities $\\phi$ and $\\psi$. Field-theoretic methods are used to show the equivalence of the critical behavior on the critical line and at the critical end point and to give a systematic derivation of critical-end-point singularities like the thermal singularity $\\sim|{t}|^{2-\\alpha}$ of the spectator-phase boundary and the coexistence singularities $\\sim |{t}|^{1-\\alpha}$ or $\\sim|{t}|^{\\beta}$ of the secondary density $<\\psi>$. The appearance of a discontinuity eigenexponent a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9908311","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"}