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.
Mathematical Principles of Quantum Statistical Mechanics (in Japanese)
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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.
Quasiparticles in the spin-boson model do not exhibit Bose-Einstein condensation at finite temperature for moderate equilibrium states.
Operator algebras and probability theory supply guiding principles for constructive quantum field theory and rigorous statistical mechanics.
The paper is a set of notes on the van Hove model that covers cutoff removal, existence of ground and KMS states for a point source, and Bose-Einstein condensation in infinite volume, but states it contains no essentially new results.
citing papers explorer
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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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No-Go Theorem for Quasiparticle BEC in the Spin-Boson Model
Quasiparticles in the spin-boson model do not exhibit Bose-Einstein condensation at finite temperature for moderate equilibrium states.
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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.
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A Note on the Resolvent Algebra and Functional Integral Approach to the van Hove Model
The paper is a set of notes on the van Hove model that covers cutoff removal, existence of ground and KMS states for a point source, and Bose-Einstein condensation in infinite volume, but states it contains no essentially new results.