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The spectral representation for general two-point Green functions in thermo field dynamics is used to compute the spectral density of the φ²-φ² correlation function in hot φ⁴ theory. We give a compact derivation of the one-loop contribution to the shear viscosity and show that it is dominated by low-momentum plasmons. The weak-coupling behavior of the viscosity is strongly influenced by the momentum dependence of the plasmon width.
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Wang et al. (1996) studied this question.
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