Determinants in QCD at finite temperature

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We compute the functional determinant for the fluctuations around the most general self-dual configuration with unit topological charge for 4D SU(2) Yang-Mills with one compactified direction. This configuration is called "instanton with non-trivial holonomy" or "Kraan-van-Baal-Lee-Lu caloron". It is a generalization of the usual instantons for the case of non-zero temperature. We extend the earlier results of Diakonov, Gromov, Petrov and Slizovsky to arbitrary values of parameters.
9 pages

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