2009/05/13 by Wojciech Dybalski
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Coincidence #Cosmology and Gravitation Theories #Field (mathematics) #Noncommutative and Quantum Gravity Theories #Observable #Phase space #Quantum field theory #Space (punctuation) #Uniqueness #Vacuum state #hep-th #math-ph #math.MP #msc:46L40 #msc:81T05
paper · pdf · doi:10.1088/1751-8113/42/36/365201
published as J.Phys.A42:365201,2009 · 27 pages, LaTeX
arxiv created 2009/05/13 · openalex publication_date 2009/08/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A new phase space criterion, encoding the physically motivated behavior of coincidence arrangements of local observables, is proposed in this work. This condition entails, in particular, uniqueness and purity of the energetically accessible vacuum states. It is shown that the qualitative part of this new criterion is equivalent to a compactness condition proposed in the literature. Its novel quantitative part is verified in massive free field theory.