{"paper":{"title":"Manifestly Covariant Canonical Quantization of the Scalar Field and Particle Localization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-th","authors_text":"Matej Pav\\v{s}i\\v{c}","submitted_at":"2018-04-10T08:59:03Z","abstract_excerpt":"Particle localization within quantum field theory is revisited. Canonical quantization of a free scalar field theory is performed in a manifestly Lorentz covariant way with respect to an arbitrary 3-surface $\\Sigma$, which is the simultaneity surface associated with the observer, whose proper time direction is orthogonal to $\\Sigma$. Position on $\\Sigma$ is determined by a 4-vector ${\\bar x}^\\mu$. The corresponding quantum position operator, formed in terms of the operators $a^\\dagger ({\\bar x})$, $a({\\bar x})$, that create/annihilate particles on $\\Sigma$, has thus well behaved properties und"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.03404","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"}