Conformal Field Theory and Statistical Mechanics
英文摘要：
The lectures provide a pedagogical introduction to the methods of CFT as applied to two-dimensional critical behaviour.
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Conformal Quantum Mechanics and Sine-Square Deformation
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Bessel Process and Conformal Quantum Mechanics
Different aspects of the connection between the Bessel process and the conformal quantum mechanics (CQM) are discussed. The meaning of the possible generalizations of both models is investigated with respect to the other model, including self adjoint extension of the CQM. Some other generalizations such as the Bessel process in the wide sense and radial Ornstein- Uhlenbeck process are discussed with respect to the underlying conformal group structure.
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Conformal higher-order viscoelastic fluid mechanics
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Many-body localization in large-N conformal mechanics
In quantum statistical mechanics, closed many-body systems that do not exhibit thermalization after an arbitrarily long time in spite of the presence of interactions are called as many-body localized systems, and recently have been vigorously investigated. After a brief review of this topic, we consider a many-body interacting quantum system in one dimension, which has conformal symmetry and integrability. We exactly solve the system and discuss its thermal or non-thermal behavior.
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Planck's Legacy to Statistical Mechanics
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Critical curves in conformally invariant statistical systems
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