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arXiv · 0902.2453

Dirac Quantization Condition for Monopole in Noncommutative Space-Time

Masud Chaichian·Subir Ghosh·Miklos Langvik·Anca Tureanu
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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), $μe = \frac{N}{2}\hbar c$, 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 $θ$, leading to the conjecture that the condition will not alter in higher orders.

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Masud Chaichian, Subir Ghosh, Miklos Langvik, Anca Tureanu. 2009-02-14. Dirac Quantization Condition for Monopole in Noncommutative Space-Time. https://doi.org/10.1103/physrevd.79.125029

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