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- Title
Positivity from Cosmological Correlators.
- Authors
Green, Daniel; Huang, Yiwen; Shen, Chia-Hsien; Baumann, Daniel
- Abstract
Effective field theories in flat space and in anti-de Sitter space are constrained by causality and unitarity, often in the form of positivity bounds. Similar bounds have been harder to demonstrate in cosmological backgrounds, where the roles of unitarity and causality are more obscure. Fortunately, the expansion of the universe ensures that late-time cosmological correlators are effectively classical and the role of unitarity is played by classical statistical inequalities. For multi-field inflation, the resulting positivity constraints have long been known in terms of the Suyama-Yamaguchi inequality. In this paper, we demonstrate that similar statistical bounds imply nontrivial constraints for massive fields in the early universe. We show that any real anomalous dimensions for principal series fields in de Sitter space must be positive. We also derive a limit on the amplitude of particular oscillatory signals from inflation, including those arising in cosmological collider physics. Finally, we demonstrate that these constraints manifest themselves directly in the two-point statistics of matter and galaxies that will be measured in upcoming surveys.
- Subjects
CORRELATORS; OPTIMISM; PHYSICAL cosmology; INFLATIONARY universe; SPACE-time symmetries; PARTICLE physics
- Publication
Journal of High Energy Physics, 2024, Vol 2024, Issue 4, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP04(2024)034