Abstract
The dielectric constant epsilon and magnetic permeability ..mu.. for gluon plasma are calculated from the one-loop gauge-invariant effective action. The real parts are gauge-fixing independent and agree with earlier work. The imaginary part of ..mu../sup -1/ is zero in any covariant background-field gauge, while the imaginary part of epsilon is gauge-fixing dependent and negative definite. This result indicates that there is no consistent perturbative description of gluonic plasmons on scale greater than or equal to(g/sup 2/T)/sup -1/.
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