Stress-stress correlator in lambda phi^4 theory: Poles or a Cut?

Abstract

We explore the analytical properties of the traceless stress tensor 2-point function at zero momentum and small frequency (relevant for shear viscosity and hydrodynamic response) in hot, weakly coupled lambda phi^4 theory. We show that, rather than one or a small number of poles, the correlator has a cut along the negative imaginary frequency axis. We briefly discuss this result's relevance for constructing 2'nd order hydrodynamic models of hot relativistic field theories.

17 pages, 5 figures, published version (minor revision)

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• Nonlinear Fluid Dynamics from Gravity
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• Origin of the Relaxation Time in Dissipative Fluid Dynamics
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