Fermionicα-vacua

2004/10/22 by Hael Collins · 1 citation
Mathematics · Physics and Astronomy · #Antipodal point #Black Holes and Theoretical Physics #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Physics #Propagator #Scalar (mathematics) #Scalar field #hep-th

paper · pdf · doi:10.1103/physrevd.71.024002

published as Phys.Rev. D71 (2005) 024002 · 13 pages, 3 eps figures, uses RevTeX

arxiv created 2004/10/22 · openalex publication_date 2005/01/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A spin (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 \ensuremathα-vacua for a scalar field. We shall show how using a point-source propagator for a fermion in an \ensuremathα-state produces divergent perturbative corrections. These corrections cannot be used to cancel similar divergences arising from scalar fields in bosonic \ensuremathα-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.

Citations

• Trans-Planckian dispersion and scale invariance of inflationary perturbations
• Initial state effects on the cosmic microwave background and trans-Planckian physics
• Real-time perturbation theory in de Sitter space
• Trans-Planckian effects in inflationary cosmology and the modified uncertainty principle
• Quantum field theory in de Sitter space: renormalization by point-splitting
• Trans-Planckian problem of inflationary cosmology

Cited by

• Probing Alpha-Vacua of Black Holes in LHC