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Two loop renormalization of the magnetic coupling in hot QCD

P. Giovannangeli
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Abstract

Well above the critical temperature hot QCD is described by 3d electrostatic QCD with gauge coupling $g_E$ and Debye mass $m_E$. We integrate out the Debye scales to two loop accuracy and find for the gauge coupling in the resulting magnetostatic action $g_M^2=g_E^2(1-{1\over{48}}{g_E^2N\over{πm_E}} -{17\over{4608}}({g_E^2N\over{πm_E}})^2+O(({g_E^2N\over{πm_E}})^3))$.

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P. Giovannangeli. 2004-01-27. Two loop renormalization of the magnetic coupling in hot QCD. https://doi.org/10.1016/j.physletb.2004.02.011

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