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Determinants in QCD at finite temperature

2007/01/20 by Nikolay Gromov, Gromov, Nikolay
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0701192

9 pages

arxiv created 2007/01/20 · openalex publication_date 2007/01/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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