From PT-symmetric quantum mechanics to conformal field theory

Dorey, Patrick and Dunning, Clare and Tateo, Roberto (2009) From PT-symmetric quantum mechanics to conformal field theory. Pramana - Journal of Physics, 73 (2. Sp. Iss. SI). pp. 217-239. ISSN 0304-4289 . (The full text of this publication is not available from this repository)

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Abstract

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.

Item Type: Article
Additional information: 8th Conference on Non-Hermitian Hamiltonians in Quantum Physics Mumbai, Idia, January 13th-16th, 2009
Uncontrolled keywords: Parity; time-reversal; PT symmetry; integrable models; quantum mechanics
Subjects: Q Science > QA Mathematics (inc Computing science)
Q Science > QC Physics
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Clare Dunning
Date Deposited: 27 Oct 2009 14:13
Last Modified: 16 Jun 2014 11:53
Resource URI: http://kar.kent.ac.uk/id/eprint/23095 (The current URI for this page, for reference purposes)
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