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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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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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.