Göttingen 2012 – scientific programme
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T: Fachverband Teilchenphysik
T 22: Quantenfeldtheorie
T 22.8: Talk
Wednesday, February 29, 2012, 18:30–18:45, VG 3.101
Matching coefficients of thermal QCD — •Ioan Ghişoiu — Faculty of Physics, University of Bielefeld, D-33501 Bielefeld, Germany
I present an approach for calculating the matching coefficients of the electrostatic effective theory (EQCD) of thermal QCD at NNLO. The matching computation for the electric screening mass mE and the effective gauge coupling gE is performed in the background field gauge, reducing the computation to two-point vertex functions.
In addition, since EQCD by construction describes long distance phenomena, a low momentum expansion of the vertex functions is possible, and consequently only vacuum sum-integrals are generated. The ≈ 107 vacuum sum-integrals are expressed in terms of ≲ 10 non-trivial so called master sum-integrals using Integration-by-Parts relations. After a suitable basis transformation, the remaining master sum-integrals are computed using the technique implemented by Arnold and Zhai.