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

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

1996-07-25

arxiv.org/abs/hep-th/9607197v1

Phys.Rev. D55 (1997) 3886-3888

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Plain-Tex

Scientific paper

10.1103/PhysRevD.55.3886

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 $\zeta$-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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