Dipole binding in a cosmic string background due to quantum anomalies

Details Dipole binding in a cosmic string background due to quantum anomalies Dipole binding in a cosmic string background due to quantum anomalies

2007-04-22

arxiv.org/abs/0704.2878v2

Phys.Rev.A76:012114,2007

Physics

High Energy Physics

High Energy Physics - Theory

Accepted for publication in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.76.012114

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 \xi\in(-1,1). The inequivalent quantization is characterized by a 1-parameter family of self-adjoint extension parameter \Sigma. We show that within the interval \xi\in(-1,1), cosmic string with zero radius can bind the dipole and the dipole does not fall into the singularity.

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