{"paper":{"title":"PT-symmetric quantum field theory in D dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Carl M. Bender, Nima Hassanpour, Sarben Sarkar, S. P. Klevansky","submitted_at":"2018-10-30T01:39:43Z","abstract_excerpt":"PT-symmetric quantum mechanics began with a study of the Hamiltonian $H=p^2+x^2(ix)^\\varepsilon$. A surprising feature of this non-Hermitian Hamiltonian is that its eigenvalues are discrete, real, and positive when $\\varepsilon\\geq0$. This paper examines the corresponding quantum-field-theoretic Hamiltonian $H=\\frac{1}{2}(\\nabla\\phi)^2+\\frac{1}{2}\\phi^2(i\\phi)^\\varepsilon$ in $D$-dimensional spacetime, where $\\phi$ is a pseudoscalar field. It is shown how to calculate the Green's functions as series in powers of $\\varepsilon$ directly from the Euclidean partition function. Exact finite express"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.12479","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"}