arXiv:hep-th/0306028·v2·High Energy Physics — Theory
The Fate of the Alpha-Vacuum
Hael Collins🇺🇸 · R. Holman🇺🇸 · Matthew R. Martin (Carnegie Mellon University)🇺🇸
Abstract
de Sitter space-time has a one complex parameter family of invariant vacua for the theory of a free, massive scalar field. For most of these vacua, in an interacting scalar theory the one loop corrections diverge linearly for large values of the loop momentum. These divergences are not of a form that can be removed by a de Sitter invariant counterterm, except in the case of the Euclidean, or Bunch-Davies, vacuum.
Comments: 15 pages, 6 figures, uses ReVTeX, minor corrections to the time evolution