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We work out the effective gravitational action for 2D massive Euclideanfermions in a small mass expansion. Besides the leading Liouville action, theorder $m^2$ gravitational action contains a piece characteristic of the Mabuchiaction, much as for 2D massive scalars, but also several non-local termsinvolving the Green's functions and Green's functions at coinciding points onthe manifold.

Effective gravitational action for 2D massive fermions