Operator product expansions as a consequence of phase space properties

2005/02/28 by Henning Bostelmann · 4 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Cold Atom Physics and Bose-Einstein Condensates #Spectral Theory in Mathematical Physics #math-ph #math.MP #msc:81T05

paper · pdf · doi:10.1063/1.2007567

published as J.Math.Phys. 46 (2005) 082304 · v3: minor wording changes, as to appear in J. Math. Phys.; 12 pages

openalex publication_date 2005/08/01 · arxiv created 2005/08/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper presents a model-independent, nonperturbative proof of operator product expansions in quantum field theory. As an input, a recently proposed phase space condition is used that allows a precise description of point field structures. Based on the product expansions, we also define and analyze normal products (in the sense of Zimmermann).

Citations

• Phase space properties and the short distance structure in quantum field theory

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