Year: 2015
Type: article
Abstract: The bulk-to-boundary mapping for massive scalar fields is constructed, providing a de Sitter analog of the Lehmann-Symanzik-Zimmermann reduction formula. The set of boundary correlators thus obtained defines a potentially new class of conformal field theories based on principal series representations of the global conformal group. Conversely, we show that bulk field operators in de Sitter may be reconstructed from boundary operators. While consistent at the level of the free field theory, the boundary conformal field theory does not satisfy cluster decomposition. The resulting conformal field theory does not satisfy the basic axioms of Euclidean quantum field theory due to Osterwalder and Schrader, so it is likely not well defined once interactions are included.
Authors: Atreya Chatterjee, David A. Lowe
Institution: Brown University
Language: Latvian
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1792714948