Quantized Kronecker flows and almost periodic quantum field theory

Journal Article · Sat Nov 01 04:00:00 EST 1997 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.532154· OSTI ID:544812

Klimek, S ^[1]; Lesniewski, A ^[2]

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1. Department of Mathematics, IUPUI, Indianapolis, Indiana 46205 (United States)
2. Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138 (United States)

We define and study the properties of the infinite-dimensional quantized Kronecker flow. This C{sup {asterisk}}-dynamical system arises as a quantization of the corresponding flow on an infinite-dimensional torus. We prove an ergodic theorem for a class of quantized Kronecker flows. We also study the closely related, almost periodic quantum field theory of bosonic, fermionic, and supersymmetric particles. We prove the existence and uniqueness of KMS and super-KMS states for the C{sup {asterisk}}-algebras of observables arising in these theories. {copyright} {ital 1997 American Institute of Physics.}

• OSTI ID: 544812
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 11 Vol. 38; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ALGEBRA
BOSONS
FERMIONS
QUANTIZATION
QUANTUM FIELD THEORY
SPARTICLES
SUPERSYMMETRY