2000/01/25 by Roberto Conti, Sergio Doplicher, John E. Roberts · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Duality (order theory) #Field (mathematics) #Gauge group #Hilbert space #Net (polyhedron) #Observable #Quantum field theory #Statistical Mechanics and Entropy #Superselection #Theoretical and Computational Physics #math-ph #math.MP #math.OA
paper · pdf · doi:10.1007/s002200100392
published as Commun.Math.Phys. 218 (2001) 263-281 · 28 pages, LaTex
arxiv created 2000/01/25 · openalex publication_date 2001/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
An inclusion of observable nets satisfying duality induces an inclusion of canonical field nets. Any Bose net intermediate between the observable net and the field net and satisfying duality is the fixed-point net of the field net under a compact group. This compact group is its canonical gauge group if the occurrence of sectors with infinite statistics can be ruled out for the observable net and its vacuum Hilbert space is separable.