2025/12/09 by Sayantan Choudhury, Choudhury, Sayantan · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)
paper · pdf · doi:10.48550/arxiv.2512.09175
openalex publication_date 2025/12/09 · openalex created_date 2025/12/12 · openalex updated_date 2026/07/28
In this paper, we create a Mellin space method for boundary correlation functions in de Sitter (dS) and anti-de Sitter (AdS) spaces. We demonstrate that the analytic continuation between AdSd+1 and dSd+1 is encoded in a set of simple relative phases using the Mellin-Barnes representation of correlators. It helps us to determine the scalar three-point and four-point functions and their corresponding Mellin-Barnes amplitudes in dSd+1 space using the known results from AdSd+1 space. The Mellin-Barnes representation reveals the analytic structure of boundary correlation functions over all d and scaling dimensions. In the present discussion, the \it split representation have been used as an instrumental technique in particularly the evaluation of bulk Witten diagrams and is suitable to obtain the \it Conformal Partial Wave decomposition of tree-level exchange in the bulk Witten diagrams. The equivalent adjustment to the cosmological three-point and four-point function of generic external scalars may be further extracted from these results, assuming the weak breakdown of the de Sitter isometries. These findings offer a step towards a more methodical comprehension of de Sitter observables utilising Mellin space techniques at the tree level and beyond.