A remark on alpha vacua for quantum field theories on de Sitter space

Abstract

It is shown that the so-called $\alpha$-vacua which have been proposed as candidates for states of free quantum fields on de Sitter space have infinitely strong fluctuations for typical observables as averaged renormalized energy momentum tensor.

References in corpus (9)

• Microlocal Analysis and Interacting Quantum Field Theories: Renormalization on Physical Backgrounds
• The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes
• Existence of Local Covariant Time Ordered Products of Quantum Fields in Curved Spacetime
• Initial Conditions for Inflation
• Interacting Quantum Field Theory in de Sitter Vacua
• Inflation, holography, and the choice of vacuum in de Sitter space
• On the consistency of de Sitter vacua
• de Sitter Vacua, Renormalization and Locality
• Alpha-states in de Sitter space

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