2020•arXiv (Cornell University)Open access

Solutions to the Dirac equation in the background of 1 monopole with 2 singularities

Thomas R. Harris

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Abstract

We use the Nahm transform to construct explicit $L^2$ solutions to the Dirac equation in $\mathbb{R}^3$ in the background of one nonabelian $U(2)$ monopole with one positive and one negative Dirac singularity.

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What this paper is about

We use the Nahm transform to construct explicit $L^2$ solutions to the Dirac equation in $\mathbb{R}^3$ in the background of one nonabelian $U(2)$ monopole with one positive and one negative Dirac singularity.

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Available abstract

We use the Nahm transform to construct explicit $L^2$ solutions to the Dirac equation in $\mathbb{R}^3$ in the background of one nonabelian $U(2)$ monopole with one positive and one negative Dirac singularity.

Key concepts: Magnetic monopole, Gravitational singularity, Dirac equation, Mathematical physics, Dirac (video compression format), Physics, Dirac algebra, Quantum electrodynamics

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