Quantum weights of dyons and of instantons with non-trivial holonomy

Details Quantum weights of dyons and of instantons with non-trivial holonomy Quantum weights of dyons and of instantons with non-trivial holonomy

2004-04-05

arxiv.org/abs/hep-th/0404042v2

Phys.Rev. D70 (2004) 036003

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, 5 figs, minor corrections

Scientific paper

10.1103/PhysRevD.70.036003

We calculate exactly functional determinants for quantum oscillations about periodic instantons with non-trivial value of the Polyakov line at spatial infinity. Hence, we find the weight or the probability with which calorons with non-trivial holonomy occur in the Yang--Mills partition function. The weight depends on the value of the holonomy, the temperature, Lambda_QCD, and the separation between the BPS monopoles (or dyons) which constitute the periodic instanton. At large separation between constituent dyons, the quantum measure factorizes into a product of individual dyon measures, times a definite interaction energy. We present an argument that at temperatures below a critical one related to Lambda_QCD, trivial holonomy is unstable, and that calorons ``ionize'' into separate dyons.

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