Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-04-30
Physics
High Energy Physics
High Energy Physics - Theory
6 pages, Plain-Tex. Equations (2.8), (2.9) and (2.10) have been corrected, and the presentation has been improved
Scientific paper
This paper studies the role of the axial gauge in the semiclassical analysis of simple supergravity about the Euclidean four-ball, when non-local boundary conditions of the spectral type are imposed on gravitino perturbations at the bounding three-sphere. Metric perturbations are instead subject to boundary conditions completely invariant under infinitesimal diffeomorphisms. It is shown that the axial gauge leads to a non-trivial cancellation of ghost-modes contributions to the one-loop divergence. The analysis, which is based on zeta-function regularization, provides a full $\zeta(0)$ value which coincides with the one obtained from transverse-traceless perturbations for gravitons and gravitinos. The resulting one-loop divergence does not vanish. This property seems to imply that simple supergravity is not even one-loop finite in the presence of boundaries.
Esposito Giampiero
Kamenshchik Alexander Yu.
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