Two loop renormalization of the magnetic coupling in hot QCD

Details Two loop renormalization of the magnetic coupling in hot QCD Two loop renormalization of the magnetic coupling in hot QCD

2003-12-21

arxiv.org/abs/hep-ph/0312307v3

Phys.Lett. B585 (2004) 144-148

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 1 figure. Cosmetic changes. To be published in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2004.02.011

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 $g_M^2=g_E^2(1-{1\over{48}}{g_E^2N\over{\pi m_E}}
-{17\over{4608}}({g_E^2N\over{\pi m_E}})^2+O(({g_E^2N\over{\pi m_E}})^3))$.

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