2004/09/30 by Henning Bostelmann · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math-ph #math.MP #msc:81T05
paper · pdf · doi:10.1063/1.1883313
published as J.Math.Phys. 46 (2005) 052301 · v3: minor changes, as to appear in J. Math. Phys.; 15 pages
arxiv created 2005/04/03 · openalex publication_date 2005/04/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The paper investigates relations between the phase space structure of a quantum field theory (“nuclearity”) and the concept of pointlike localized fields. Given a net of local observable algebras, a phase space condition is introduced that allows a very detailed description of the theory’s field content. An appendix discusses noninteracting models as examples.