On the Relativistic KMS Condition for the P(ø)2 Model

2006/09/29 by Christian Gérard, Christian Gerard, Christian Jaekel +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Field (mathematics) #Function (biology) #Geometry #Mathematical physics #Mathematics #Physics #Point (geometry) #Pure mathematics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum dissipation #Quantum field theory #Quantum mechanics #Relativistic quantum mechanics #Statistical mechanics #math-ph #math.MP

paper · pdf · doi:10.1007/978-3-7643-7434-1_10

published as Prog.Math.251:125-140,2007

arxiv created 2006/09/29 · openalex publication_date 2006/12/14 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The relativistic KMS condition introduced by Bros and Buchholz provides a link between quantum statistical mechanics and quantum field theory. We show that for the P(ø)2 model at positive temperature, the two-point function for fields satisfies the relativistic KMS condition.

Citations

• Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems
• Theory of Many-Particle Systems. I
• On the equilibrium states in quantum statistical mechanics
• KMS, ETC.