Spherically symmetric monopoles in noncommutative space

Abstract

We construct a spherically symmetric noncommutative space in three dimensions by foliating the space with concentric fuzzy spheres. We show how to construct a gauge theory in this space and in particular we derive the noncommutative version of a Yang-Mills-Higgs theory. We find numerical monopole solutions of the equations of motion.

13 pages, 3 figures

References in corpus (1)

• Finite Gauge Theory on Fuzzy CP^2

Cited by in corpus (13)

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• Noncommutative phase space with rotational symmetry and hydrogen atom
• Rotationally invariant noncommutative phase space of canonical type with recovered weak equivalence principle
• System of interacting harmonic oscillators in rotationally invariant noncommutative phase space
• Time reversal and rotational symmetries in noncommutative phase space
• Noncommutative Spherically Symmetric Spaces
• Minimal momentum estimation in noncommutative phase space of canonical type with preserved rotational and time reversal symmetries
• The dyon charge in noncommutative gauge theories
• Harmonic oscillator chain in noncommutative phase space with rotational symmetry