Bose-Einstein condensation of quasiparticles is excluded in the van Hove model because time cluster properties on beta-KMS states preclude it and nonlinear dispersion with s greater than 2 reduces the observable algebra via infrared divergences.
Analysis on Fock Spaces and Mathematical Theory of Quantum Fields: An Introduction to Mathematical Analysis of Quantum Fields
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The paper establishes the equivalence between direct integral decompositions of finite-temperature BEC states in the resolvent algebra and ergodic decompositions of associated probability measures in the functional integral approach for the free Bose gas.
Operator algebras and probability theory supply guiding principles for constructive quantum field theory and rigorous statistical mechanics.
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No-Go Theorem for Quasiparticle BEC
Bose-Einstein condensation of quasiparticles is excluded in the van Hove model because time cluster properties on beta-KMS states preclude it and nonlinear dispersion with s greater than 2 reduces the observable algebra via infrared divergences.
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A Note on the Resolvent Algebra and Functional Integral Approach to the Free Bose Einstein Condensation
The paper establishes the equivalence between direct integral decompositions of finite-temperature BEC states in the resolvent algebra and ergodic decompositions of associated probability measures in the functional integral approach for the free Bose gas.
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Constructive Quantum Field Theory and Rigorous Statistical Mechanics via Operator Algebras and Probability Theory -- Guiding Principles and Research Perspectives
Operator algebras and probability theory supply guiding principles for constructive quantum field theory and rigorous statistical mechanics.