Fermionic alpha-vacua

Details Fermionic alpha-vacua Fermionic alpha-vacua

2004-10-22

arxiv.org/abs/hep-th/0410229v1

Phys.Rev. D71 (2005) 024002

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 3 eps figures, uses RevTeX

Scientific paper

10.1103/PhysRevD.71.024002

A spin one-half particle propagating in a de Sitter background has a one parameter family of states which transform covariantly under the isometry group of the background. These states are the fermionic analogues of the alpha-vacua for a scalar field. We shall show how using a point-source propagator for a fermion in an alpha-state produces divergent perturbative corrections. These corrections cannot be used to cancel similar divergences arising from scalar fields in bosonic alpha-vacua since they have an incompatible dependence on the external momenta. The theory can be regularized by modifying the propagator to include an antipodal source.

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