The Infrared Sensitivity of Nonabelian Debye Screening

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It is shown that a perturbative treatment of nonabelian Debye screening at high temperature suffers from infrared problems already at the next-to-leading order, which is given by ring-resummed one-loop diagrams. Superficial infrared power counting would let one expect a sensitivity to the magnetic mass scale only at higher orders, but the form of Debye screening depends on the analytic structure of the correlation functions, which is strongly sensitive to the existence of screening of static magnetic fields. [Invited talk at the Workshop on Quantum Infrared Physics, 6-10 June 1994, American University of Paris, France]