The Geometry of Calorons

Details The Geometry of Calorons The Geometry of Calorons

2003-11-22

arxiv.org/abs/hep-th/0311215v1

Physics

High Energy Physics

High Energy Physics - Theory

PhD Thesis, University of Edinburgh 2001, supervised by Michael Singer

Scientific paper

Calorons (periodic instantons) are anti-self-dual (ASD) connections on S^1 \times R^3 and form an intermediate case between instantons and monopoles. The ADHM and Nahm constructions of instantons and monopoles can be regarded as generalizations of a correspondence between ASD connections on the 4-torus, often referred to as the Nahm transform. This thesis describes how the Nahm transform can be extended to the case of calorons. It is shown how calorons can be constructed from Nahm data similar to that for monopoles, but defined over the circle. The inverse transformation, from the caloron to the Nahm data, is also described.

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