From -symmetric quantum mechanics to conformal field theory

One of the simplest examples of a -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 phas...

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Bibliographic Details
Published in:Pramāṇa 2009, Vol.73 (2)
Main Authors: Dorey, Patrick, Dunning, Clare, Tateo, Roberto
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Astroparticles
Observations and Techniques
Physics
Physics and Astronomy
Online Access:Get full text
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Summary:One of the simplest examples of a -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 -symmetric quantum mechanics. We also discuss some more general results on -symmetric quantum mechanics and the ODE/IM correspondence, and mention applications to magnetic systems and cold atom physics.
ISSN:0304-4289
0973-7111
DOI:10.1007/s12043-009-0114-8