Effective gravitational action for 2D massive fermions

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-lo...

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Autores principales: Adel Bilal, Corinne de Lacroix, Harold Erbin
Formato: article
Lenguaje:EN
Publicado: SpringerOpen 2021
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Acceso en línea:https://doaj.org/article/c47d969a16d44aa1b4f471c3d8222b81
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Sumario: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.