Effective gravitational action for 2D massive fermions

Abstract

Abstract We work out the effective gravitational action for 2D massive Euclidean fermions in a small mass expansion. Besides the leading Liouville action, the order m 2 gravitational action contains a piece characteristic of the Mabuchi action, much as for 2D massive scalars, but also several non-local terms involving the Green’s functions and Green’s functions at coinciding points on the manifold.

Keywords

• 2D Gravity
• Models of Quantum Gravity