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Effective gravitational action for 2D massive fermions
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13130_2021_Article_17207.pdf
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Author(s) • •
Bilal, Adel
de Lacroix, Corinne
Erbin, Harold
Date Issued
November 22, 2021
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2021 Nov 22;2021(11):165
Version
Final published version
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.
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DOI of Published Version
https://doi.org/10.1007/JHEP11(2021)165