Dipole binding in a cosmic string background due to quantum anomalies

Abstract

We propose quantum dynamics for the dipole moving in cosmic string background and show that the classical scale symmetry of a particle moving in cosmic string background is still restored even in the presence of dipole moment of the particle. However, we show that the classical scale symmetry is broken due to inequivalent quantization of the the non-relativistic system. The consequence of this quantum anomaly is the formation of bound state in the interval ξ\in(-1,1). The inequivalent quantization is characterized by a 1-parameter family of self-adjoint extension parameter Σ. We show that within the interval ξ\in(-1,1), cosmic string with zero radius can bind the dipole and the dipole does not fall into the singularity.

Accepted for publication in Phys. Rev. A

References in corpus (3)

• Anomaly in conformal quantum mechanics: From molecular physics to black holes
• Quantization and Conformal Properties of a Generalized Calogero Model
• B-L Cosmic strings and Baryogenesis

Cited by in corpus (5)

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• Inverse square problem and so(2,1) symmetry in noncommutative space
• Non-commutativity as a measure of inequivalent quantization