Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-08-20
Phys.Rev.D79:065025,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
25 pages, 1 figure [changes from v1: clarifications made as to range of validity of results for small medium size]
Scientific paper
10.1103/PhysRevD.79.065025
Previous authors have considered the problem of the medium effects on single gluon bremsstrahlung associated with producing a high-energy particle in a finite, time-dependent QCD plasma. Working to leading logarithmic order, I show that the result for the bremsstrahlung gluon spectrum can be cast into a remarkably simple form in the general case. I similarly analyze the process of pair production. Also, I comment on the radius of convergence of the opacity expansion in cases where the leading-log approximation holds, showing that the opacity expansion does not converge when the thickness of the plasma is greater than roughly the bremsstrahlung formation time. Additionally, as a special bonus -- available for a limited time only while supplies last! -- I summarize translations between the notation used by a few of the groups who have worked on this and related problems.
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