Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-04-06
Phys.Rev. D63 (2001) 045017
Physics
High Energy Physics
High Energy Physics - Phenomenology
52 pages, 3 figures, RevteX The proof is now complete with a new perspective. A new appendix contains eigenvalues' expressions
Scientific paper
10.1103/PhysRevD.63.045017
An effective theory for the soft field modes in hot QCD has been obtained recently by integrating out the field modes of momenta of order T and g T. The mean hard particle distribution obeys a transport equation with a collision term. The scale that comes out for the soft field is g^2 T ln 1/g . N-gluon soft amplitudes are shown to be a sum of tree diagrams and to obey tree-like Ward identities. These effective amplitudes are used to compute the one-soft loop contribution to the gluon self-energy when the loop momentum is of order g^2 T ln 1/g. It allows to identify a new collision term which, when included into the transport equation, takes into account collisions with gluon exchange of order g^2 T ln 1/g. The infrared behaviour of the collision term exhibits a significant change.
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