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 (21)

• Near-Horizon Conformal Structure of Black Holes
• Quantum Anomaly in Molecular Physics
• Anomaly in conformal quantum mechanics: From molecular physics to black holes
• Further Evidence for the Conformal Structure of a Schwarzschild Black Hole in an Algebraic Approach
• Horizon States for AdS Black Holes
• Observing Correlated Production of Defects-Antidefects in Liquid Crystals
• Inequivalent Quantizations of the Rational Calogero Model
• Novel Quantum States of the Rational Calogero Models Without the Confining Interaction
• Bound States in One-Dimensional Quantum N-Body Systems with Inverse Square Interaction
• Coulomb and quantum oscillator problems in conical spaces with arbitrary dimensions
• Bound states in the dynamics of a dipole in the presence of a conical defect
• The bound state Aharonov-Bohm effect around a cosmic string revisited
• Quantization and Conformal Properties of a Generalized Calogero Model
• Measuring Cosmic Defect Correlations in Liquid Crystals
• Cosmic Topological Defects, Highest Energy Cosmic Rays, and the Baryon Asymmetry of the Universe
• Resonant Production of Topological Defects
• B-L Cosmic strings and Baryogenesis
• Nonrelativistic Quantum Analysis of the Charged Particle-Dyon System on a Conical Spacetime
• Quantum Inverse Square Interaction
• Baryogenesis via Leptogenesis in presence of cosmic strings
• On Charge Quantization and Abelian Gauge Horizontal Symmetries

Cited by in corpus (13)

• Singular inverse square potential in arbitrary dimensions with a minimal length: Application to the motion of a dipole in a cosmic string background
• On the quantum dynamics of a point particle in conical space
• On Aharonov-Casher bound states
• Landau levels, self-adjoint extensions and Hall conductivity on a cone
• Influence of spatially varying pseudo-magnetic field on a 2D electron gas in graphene
• Normal mode analysis for scalar fields in BTZ black hole background
• Conformal anomaly in non-hermitian quantum mechanics
• Dirac spinors in solenoidal field and self adjoint extensions of its Hamiltonian
• Hidden scale in quantum mechanics
• Inequivalent quantization in the field of a ferromagnetic wire
• A Family of Non-commutative geometries
• Inverse square problem and so(2,1) symmetry in noncommutative space
• Non-commutativity as a measure of inequivalent quantization