# Determinant of the SU(N) caloron with nontrivial holonomy

@article{Slizovskiy2007DeterminantOT,
title={Determinant of the SU(N) caloron with nontrivial holonomy},
author={Sergey Slizovskiy},
journal={Physical Review D},
year={2007},
volume={76},
pages={085019}
}
The 1-loop quantum weight of the SU(N) Kraan-van Baal-Lee-Lu caloron with nontrivial holonomy is calculated. The caloron is the most general self-dual solution with unit topological charge in the 4d Yang-Mills theory with one compactified dimension (finite temperature)
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Calorons of the SU(N) gauge group with nontrivial holonomy, i.e. periodic instantons with arbitrary eigenvalues of the Polyakov line at spatial infinity, can be viewed as composed of N