A short introduction to the fate of the alpha-vacuum
Hael Collins
TL;DR
This paper discusses the properties of alpha-vacua in de Sitter space, highlighting how only the Bunch-Davies vacuum remains renormalizable in interacting theories, unlike other invariant states.
Contribution
It introduces the origin and nature of divergences in alpha-vacua, emphasizing the uniqueness of the Bunch-Davies vacuum for renormalizability.
Findings
All alpha-vacua except Bunch-Davies lead to non-renormalizable divergences.
The Bunch-Davies vacuum is unique in maintaining renormalizability in interacting theories.
The paper clarifies the origin of divergences associated with alpha-vacua.
Abstract
A free scalar field propagating in de Sitter space has a one parameter family of invariant states called the alpha-vacua. In an interacting theory, all except a unique state, the Bunch-Davies vacuum, produce non-renormalizable divergences. This talk provides a brief introduction to the origin and the form of these divergences.
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