ar X iv : h ep - t h / 96 07 19 7 v 1 2 5 Ju l 1 99 6 DSF preprint 96 / 36 NON - LOCAL BOUNDARY CONDITIONS FOR MASSLESS SPIN - 12 FIELDS
نویسنده
چکیده
This paper studies the 1-loop approximation for a massless spin-1/2 field on a flat four-dimensional Euclidean background bounded by two concentric 3-spheres, when non-local boundary conditions of the spectral type are imposed. The use of ζ-function regularization shows that the conformal anomaly vanishes, as in the case when the same field is subject to local boundary conditions involving projectors. A similar analysis of non-local boundary conditions can be performed for massless supergravity models on manifolds with boundary, to study their 1-loop properties.
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