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 (1)

• Gauge Covariance of the Aharonov-Bohm Phase in Noncommutative Quantum Mechanics

Cited by in corpus (1)

• Position-dependent noncommutativity in quantum mechanics