Conformal anomaly in non-hermitian quantum mechanics

Details Conformal anomaly in non-hermitian quantum mechanics Conformal anomaly in non-hermitian quantum mechanics

2008-05-19

arxiv.org/abs/0805.2827v1

Int.J.Mod.Phys.A25:155-161,2010

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, No figure

Scientific paper

10.1142/S0217751X10047798

A model of an electron and a Dirac monopole interacting through an axially symmetric non-hermitian but \mathcal{PT}-symmetric potential is discussed in detail. The intriguing localization of the wave-packet as a result of the anomalous breaking of the scale symmetry is shown to provide a scale for the system. The symmetry algebra for the system, which is the conformal algebra SO(2,1), is discussed and is shown to belong to the enveloping algebra of the combined algebra, composed of the Virosoro algebra, \{L_n, n\in \mathbb{N}\} and an abelian algebra, \{P_n,n\in \mathbb{N}\}.

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