From $mathcal{PT}$ -symmetric quantum mechanics to conformal field theory

Pramana

Patrick Dorey1³  Clare Dunning2²  Roberto Tateo3¹ 

[1] Dip. di Fisica Teorica and INFN, Università di Torino, Via P. Giuria 1, 10125 Torino,Italy$$;IMSAS, University of Kent, Canterbury CT2 7NF, UK$$;Department of Mathematical Sciences, Durham University, Durham DH1 3LE, UK$$

关键词: Parity;    time-reversal;    $mathcal{PT}$ symmetry;    integrable models;    quantum mechanics.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

One of the simplest examples of a $mathcal{PT}$-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 $mathcal{PT}$-symmetric quantum mechanics. We also discuss some more general results on $mathcal{PT}$-symmetric quantum mechanics and the ODE/IM correspondence, and mention applications to magnetic systems and cold atom physics.

【 授权许可】

Unknown