2010/02/28 by Denis Besak, Dietrich Bödeker, Dietrich Bodeker
Engineering · Mathematics · Physics and Astronomy · #Annihilation #Bremsstrahlung #Classical mechanics #Gauge (firearms) #High-Energy Particle Collisions Research #Loop (graph theory) #Mathematics #Momentum (technical analysis) #Nuclear reactor physics and engineering #Numerical methods in inverse problems #Photon #Physics #Quantum electrodynamics #Quantum mechanics #Recursion (computer science) #Soft photon #Thermal #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1007/jhep05(2010)007
17 pages, title corrected, clarifying paragraph added to the appendix, version to appear in JHEP
arxiv created 2010/04/16 · openalex publication_date 2010/05/01 · arxiv updated 2015/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08
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.