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arXiv · hep-th/9607197

Non-Local Boundary Conditions for Massless Spin-1/2 Fields

Giampiero Esposito
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Abstract

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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Giampiero Esposito. 1996-07-25. Non-Local Boundary Conditions for Massless Spin-1/2 Fields. https://doi.org/10.1103/physrevd.55.3886

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