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Nonperturbative Calculation of Shear Viscosity from the Basis of the Keldysh Field in Thermal ϕ4 Theory

The nonperturbative result of the shear viscosity in thermal ϕ4 theory is given by solving the Bethe-Salpeter (B-S) integral equation in the closed time formalism in real time. By introducing a two-legs-truncated Green function it is shown that the B-S equation is decoupled in the basis of the Keldysh field.