A Simple sum rule for the thermal gluon spectral function and applications

By P. Aurenche, F. Gelis, H. Zaraket. 2002

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In this paper, we derive a simple sum rule satisfied by the gluon spectral function at finite temperature. This sum rule is useful in order to calculate exactly some integrals that appear frequently in the photon or dilepton production rate by a quark gluon plasma. Using this sum rule, we rederive simply some known results and obtain some new results that would be extremely difficult to justify otherwise. In particular, we explain how this result can be used to calculate the photon rate in a simple quasi-particle model which correctly reproduces the thermodynamic properties of a quark-gluon plasma. We also derive an exact expression for the collision integral that appears in the calculation of the Landau-Pomeranchuk-Migdal effect and propose a method to solve the resulting differential equation.

View Paper: https://www.semanticscholar.org/paper/25f8ab4381cc1474e07c2adf753e57a8024dfdc2

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Citations in the corpus

Photon and dilepton production in supersymmetric Yang-Mills plasma (2006, background): “[39] derived a very compact expression for the differential cross-section for scattering with transverse momentum exchange q⊥ (after integrating over the longitudinal momentum exchange), (2π)(2)dΓscatt d(2)q⊥ = λT m(2)D q2 ⊥(q 2 ⊥ +m 2 D) , (4.”
Transport coefficients in high temperature gauge theories. 2. Beyond leading log (2003, methodology): “[31]. However, we will make use here of the wonderful simpliflcation found by Aurenche et al. [ 33 ] showing that the integral (B.5) has a remarkably simple form,”
Thermal production of ultrarelativistic right-handed neutrinos: complete leading-order results (2012, unknown): “[41].”