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arXiv · hep-th/0011169

Calorons in Weyl Gauge

Gerald V. Dunne·Bayram Tekin
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Abstract

We demonstrate by explicit construction that while the untwisted Harrington-Shepard caloron $A_μ$ is manifestly periodic in Euclidean time, with period $β=\frac{1}{T}$, when transformed to the Weyl ($A_0=0$) gauge, the caloron gauge field $A_i$ is periodic only up to a large gauge transformation, with winding number equal to the caloron's topological charge. This helps clarify the tunneling interpretation of these solutions, and their relation to Chern-Simons numbers and winding numbers.

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Gerald V. Dunne, Bayram Tekin. 2001-02-13. Calorons in Weyl Gauge. https://doi.org/10.1103/physrevd.63.085004

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