Year: 2005
Type: article
Abstract: A spin $\frac{1}{2}$ 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 $\ensuremath{\alpha}$-vacua for a scalar field. We shall show how using a point-source propagator for a fermion in an $\ensuremath{\alpha}$-state produces divergent perturbative corrections. These corrections cannot be used to cancel similar divergences arising from scalar fields in bosonic $\ensuremath{\alpha}$-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.
Author: Hael Collins
Language: Latvian
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: U.S. Department of Energy
OpenAlex ID: W67200678