Hard thermal loops for soft or collinear external momenta

Details Hard thermal loops for soft or collinear external momenta Hard thermal loops for soft or collinear external momenta

2010-01-29

arxiv.org/abs/1002.0022v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, title corrected, clarifying paragraph added to the appendix, version to appear in JHEP

Scientific paper

We consider finite temperature 1-loop diagrams with hard loop momenta and an arbitrary number of external gauge fields when the external momenta are either soft, or near the light cone and nearly collinear with the loop momentum. We obtain a recursion relation for these diagrams which we translate into an equation for their generating functional. By integrating out the soft fields while keeping two collinear ones we find an integral equation, originally due to Arnold, Moore, and Yaffe, which sums the bremsstrahlung and pair annihilation contribution to the thermal photon production rate.

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