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A local Langevin equation for slow long-distance modes of hot non-Abelian gauge fields | | Dietrich Bodeker
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22 Dec 2000 | | Journal: | Phys.Lett. B516 (2001) 175-182 | | Subject: | hep-ph | | Abstract: | The effective theory for the dynamics of hot non-Abelian gauge fields with spatial momenta of order of the magnetic screening scale g^2 T is described by a Boltzmann equation. The dynamical content of this theory is explored. There are three relevant frequency scales, g T, g^2 T and g^4 T, associated with plasmon oscillations, multipole fluctuations of color charge, and with the non-perturbative gauge field dynamics, respectively. The frequency scale g T is integrated out. The result is a local Langevin-type equation. It is valid to leading order in g and to all orders in log(1/g), and it does not suffer from the hard thermal loop divergences of classical thermal Yang-Mills theory. We then derive the corresponding Fokker-Planck equation, which is shown to generate an equilibrium distribution corresponding to 3-dimensional Yang-Mills theory plus a Gaussian free field. | | Source: | arXiv, hep-ph/0012304 | | Services: | Forum | Review | PDF | Favorites | |
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