{"paper":{"title":"PT-Symmetric Pseudo-Hermitian Relativistic Quantum Mechanics With a Maximal Mass","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"V. N. Rodionov","submitted_at":"2012-07-23T17:33:30Z","abstract_excerpt":"The quantum-field model described by non-Hermitian, but a ${\\cal PT}$-symmetric Hamiltonian is considered. It is shown by the algebraic way that the limiting of the physical mass value $m \\leq m_{max}= {m_1}^2/2m_2$ takes place for the case of a fermion field with a $\\gamma_5$-dependent mass term ($m\\rightarrow m_1 +\\gamma_5 m_2 $). In the regions of unbroken $\\cal PT$ symmetry the Hamiltonian $H$ has another symmetry represented by a linear operator $ \\cal C$. We exactly construct this operator by using a non-perturbative method. In terms of $ \\cal C$ operator we calculate a time-independent "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.5463","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"}