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Effective gravitational action for 2D massive fermions

High Energy Physics - Theory 2021-11-25 v1

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 m2m^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.

Cite

@article{arxiv.2109.03637,
  title  = {Effective gravitational action for 2D massive fermions},
  author = {Adel Bilal and Corinne de Lacroix and Harold Erbin},
  journal= {arXiv preprint arXiv:2109.03637},
  year   = {2021}
}

Comments

32 pages

R2 v1 2026-06-24T05:47:21.081Z