Effective gravitational action for 2D massive fermions

Author:

Bilal Adel,de Lacroix Corinne,Erbin HaroldORCID

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 m2 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.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Reference16 articles.

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3. T. Mabuchi, Some symplectic geometry on compact Kähler manifolds, Osaka J. Math. 24 (1987) 227.

4. S. Semmes, Complex Monge-Ampère and symplectic manifolds, Amer. J. Math. 114 (1992) 495.

5. D.H. Phong and J. Sturm, Lectures on stability and constant scalar curvature, arXiv:0801.4179.

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