Dirac Quantization Condition for Monopole in Noncommutative Space-Time

Abstract

Since the structure of space-time at very short distances is believed to get modified possibly due to noncommutativity effects and as the Dirac Quantization Condition (DQC), $\mu e=\frac{N}{2}\hslash c$, probes the magnetic field point singularity, a natural question arises whether the same condition will still survive. We show that the DQC on a noncommutative space in a model of dynamical noncommutative quantum mechanics remains the same as in the commutative case to first order in the noncommutativity parameter $\theta$, leading to the conjecture that the condition will not alter in higher orders.

11 pages

References in corpus (14)

• String Theory and Noncommutative Geometry
• The quantum structure of spacetime at the Planck scale and quantum fields
• Anomalous Hall Effect and Magnetic Monopoles in Momentum-Space
• Berry phase correction to electron density of states in solids
• Topological Nature of Anomalous Hall Effect in Ferromagnet
• Perturbative analysis on infrared aspects of noncommutative QED on R^4
• The exotic Galilei group and the "Peierls substitution"
• Theoretical and Experimental Status of Magnetic Monopoles
• Solitons in Noncommutative Gauge Theory
• Berry phase correction to electron density in solids and "exotic" dynamics
• Monopoles and Dyons in Non-Commutative Geometry
• Gauge Covariance of the Aharonov-Bohm Phase in Noncommutative Quantum Mechanics
• Noncommutative Planar Particle Dynamics with Gauge Interactions
• The dyon charge in noncommutative gauge theories

Cited by in corpus (11)

• Topics in Noncommutative Geometry Inspired Physics
• Position-dependent noncommutativity in quantum mechanics
• Exotic galilean symmetry and non-commutative mechanics
• Dynamical supersymmetry of spin particle-magnetic field interaction
• Relativistic Spinning Particle in a Non-Commutative Extended Spacetime
• Magnetic Monopoles and Dark Matter
• Magnetic Monopoles in (Noncommutative) Quantum Mechanics
• Magnetic Monopole in Noncommutative Space-Time and Wu-Yang Singularity-Free Gauge Transformations
• Quantization of soluble classical constrained systems
• The E(2) Particle
• Gauge invariance and classical dynamics of noncommutative particle theory