Scaling anomaly in cosmic string background

Abstract

We show that the classical scale symmetry of a particle moving in cosmic string background is broken upon inequivalent quantization of the classical system, leading to anomaly. The consequence of this anomaly is the formation of single bound state in the coupling interval γ\in(-1,1). The inequivalent quantization is characterized by a 1-parameter family of self-adjoint extension parameter ω. It has been conjectured that the formation of loosely bound state in cosmic string background may lead to the so called anomalous scattering cross section for the particles, which is usually seen in molecular physics.

4 pages,1 figure

References in corpus (10)

• Celestial Mechanics, Conformal Structures, and Gravitational Waves
• Quantum Anomaly in Molecular Physics
• Anomaly in conformal quantum mechanics: From molecular physics to black holes
• Horizon States for AdS Black Holes
• Novel Quantum States of the Rational Calogero Models Without the Confining Interaction
• Inequivalent quantizations of the three-particle Calogero model constructed by separation of variables
• Electron Capture and Scaling Anomaly in Polar Molecules
• Quantum mechanics of a free particle on a pointed plane revisited
• The bound state Aharonov-Bohm effect around a cosmic string revisited
• On Charge Quantization and Abelian Gauge Horizontal Symmetries

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