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arxiv: 0710.5726 · v1 · submitted 2007-10-30 · ✦ hep-ph

Hard thermal loops in the real-time formalism

classification ✦ hep-ph
keywords real-timetheoryamplitudesformalismhardthermalaccountaddition
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We present a systematic discussion of Braaten and Pisarski's hard thermal loop (HTL) effective theory within the framework of the real-time (Schwinger-Keldysh) formalism. As is well known, the standard imaginary-time HTL amplitudes for hot gauge theory express the polarization of a medium made out of nonabelian charged point-particles; we show that the complete real-time HTL theory includes, in addition, a second set of amplitudes which account for Gaussian fluctuations in the charge distributions, but nothing else. We give a concise set of graphical rules which generate both set of functions, and discuss its relation to classical plasma physics.

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