The screening of colour electric and magnetic fields and plasma oscillations in a high-temperature gluon plasma are investigated using linear response theory and self-consistent nonperturbative solutions to the Schwinger-Dyson equation. Static electric fields are screened, with mel2 = 1 3g2NT2 - ( 3 π)( 1 6g2N) 3 2T2. This result is proven to be gauge invariant in two ways: by computing π00 in temporal axial, Coulomb and covariant gauges, and by computing the physical free energy of a heavy quark pair in the plasma in temporal axial gauge. To order g3 static magnetic fields are not screened.
Bibliographical noteFunding Information:
J.K.‘s research at CERN was supported by a NATO-NSF Postdoctoral Fellowship, and at the University of Minnesota by the U.S. Department of Energy under contract DOE/DE-AC02-79ER-10364.