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Kubo formulas for thermodynamic transport coefficients

Kubo formulas for thermodynamic transport coefficients

A bstract Uncharged relativistic fluids in 3+1 dimensions have three independent thermodynamic transport coefficients at second order in the derivative expansion. Fluids with a single global U(1) current have nine, out of which seven are parity preserving. We derive the Kubo formulas for all nine thermodynamic transport coefficients in terms …