Transport coefficients from the lattice?

Abstract

The prospects of extracting transport coefficients from euclidean lattice simulations are discussed. Some general comments on the reconstruction of spectral functions using the Maximal Entropy Method are given as well.

Figures (2)

• Figure 1: Sketch of the spectral function $\rho_{\pi\pi}(\omega)/T^4$ versus $\omega$ in a weakly-coupled scalar $\lambda\phi^4$ theory (not to scale). The shear viscosity is given by the slope at zero frequency. See the main text for discussion.
• Figure 2: Logarithm of $G_{\pi\pi}(\tau)/T^5$ versus $\tau T$ in weakly-coupled $SU(3)$ (Eq. (\ref{['eqG']}), full line). The dashed line is the result without the constant contribution originating from the low-frequency part of the spectral function. The inset shows a blowup around $\tau T=0.5$.