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Topology of Euclidean Yang–Mills fields: Instantons and monopoles
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We discuss the topological properties of the Yang–Mills fields from a unified point of view of the Wu–Yang global formulation. In four-dimensional Euclidean space, the gauge type is characterized by the second Chern class. The multi-instanton solution recently found by ’t Hooft and generalized by Jackiw, Nohl, and Rebbi is discussed from this point of view. We also discuss the generalization of the topology of instantons and monopoles in higher dimensional spaces and the relation among them.
Title: Topology of Euclidean Yang–Mills fields: Instantons and monopoles
Description:
We discuss the topological properties of the Yang–Mills fields from a unified point of view of the Wu–Yang global formulation.
In four-dimensional Euclidean space, the gauge type is characterized by the second Chern class.
The multi-instanton solution recently found by ’t Hooft and generalized by Jackiw, Nohl, and Rebbi is discussed from this point of view.
We also discuss the generalization of the topology of instantons and monopoles in higher dimensional spaces and the relation among them.
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