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Zbl 0978.53512
Kraan, Thomas C.; van Baal, Pierre
Periodic instantons with non-trivial holonomy. (English)
[J] Nucl. Phys., B 533, No.1-3, 627-659 (1998). ISSN 0550-3213

Summary: We present the detailed derivation of the charge-1 periodic instantons - or calorons - with non-trivial holonomy for SU(2)2. We use a suitable combination of the Nahm transformation and ADHM techniques. Our results rely on our ability to compute explicitly the relevant Green's function in terms of which the solution can be conveniently expressed. We also discuss the properties of the moduli space, $\bbfR^3\times\bbfS^1\times$ Taub-NUT/$\bbfZ_2$ and its metric, relating the holonomy to the Taub-NUT mass parameter. We comment on the monopole constituent description of these calorons, how to retrieve topological charge in the context of abelian projection and possible applications to QCD.

MSC 2000:: *53C80 Appl. of global differential geometry to physics
81T13 Gauge theories
53C07 Special connections and metrics on vector bundles
53C29 Issues of holonomy

Keywords: periodic instantons; holonomy

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