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.
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ArXiv ePrint: 2109.03637
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Bilal, A., de Lacroix, C. & Erbin, H. Effective gravitational action for 2D massive fermions. J. High Energ. Phys. 2021, 165 (2021). https://doi.org/10.1007/JHEP11(2021)165
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DOI: https://doi.org/10.1007/JHEP11(2021)165