Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-06-05
Pramana 73:217-239,2009
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, 12 figures, contribution to the Proceedings of PHHQP VIII (Mumbai, January 2009)
Scientific paper
10.1007/s12043-009-0114-8
One of the simplest examples of a PT-symmetric quantum system is the scaling Yang-Lee model, a quantum field theory with cubic interaction and purely imaginary coupling. We give a historical review of some facts about this model in d <= 2 dimensions, from its original definition in connection with phase transitions in the Ising model and its relevance to polymer physics, to the role it has played in studies of integrable quantum field theory and of PT-symmetric quantum mechanics. We also discuss some more general results on PT-symmetric quantum mechanics and the ODE/IM correspondence, and mention applications to magnetic systems and cold atom physics.
Dorey Patrick
Dunning Clare
Tateo Roberto
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