{"paper":{"title":"Double-Scaling Limit of a Broken Symmetry Quantum Field Theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Carl M. Bender, H. F. Jones, Peter N. Meisinger, Stefan Boettcher","submitted_at":"2000-07-31T14:21:33Z","abstract_excerpt":"The Ising limit of a conventional Hermitian parity-symmetric scalar quantum field theory is a correlated limit in which two bare Lagrangian parameters, the coupling constant $g$ and the {\\it negative} mass squared $-m^2$, both approach infinity with the ratio $-m^2/g=\\alpha>0$ held fixed. In this limit the renormalized mass of the asymptotic theory is finite. Moreover, the limiting theory exhibits universal properties. For a non-Hermitian $\\cal PT$-symmetric Lagrangian lacking parity symmetry, whose interaction term has the form $-g(i\\phi)^N/N$, the renormalized mass diverges in this correlate"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0007248","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"}