A Mellin space approach to cosmological correlators
By C. Sleight. Journal of High Energy Physics, 2019
150 citations recorded by the source corpus.
We propose a Mellin space approach to the evaluation of late-time momentum-space correlation functions of quantum fields in (d + 1)-dimensional de Sitter space. The Mellin-Barnes representation makes manifest the analytic structure of late-time correlators and, more generally, provides a convenient general d framework for the study of conformal correlators in momentum space. In this work we focus on tree-level correlation functions of general scalars as a prototype, including n-point contact diagrams and 4-point exchanges. For generic scalars, both the contact and exchange diagrams are given by (generalised) Hypergeometric functions, which reduce to existing expressions available in the literature for d = 3 and external scalars which are either simultaneously conformally coupled or massless. This approach can also be used for the perturbative bulk evaluation of momentum space boundary correlators in (d + 1)-dimensional anti-de Sitter space (Witten diagrams).
Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/1ffab35ec0242691868dbbd246dccb88c969ce12
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In Atomic and Molecular Physics, and Optics
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Citations in the corpus
- Building a boostless bootstrap for the bispectrum (2020, methodology): “gible tensor modes [13]. More recently, a systematic formalism to compute four-particle correlators or trispectra in the presence of de Sitter isometries has been developed in a nice series of papers [14,15,16,17,18,19] and dubbed the \cosmological bootstrap". In particular, building on [20], t”
- The Cosmological Optical Theorem (2020, background): “Many steps forward have been made over the years on this front [14, 15, 16, 17, 18, 19, 6, 20] and much interest and progress has appeared recently in the literature [9, 21, 22, 23, 24, 25].”
- The Cosmological Bootstrap: Spinning correlators from symmetries and factorization (2020, methodology): “In [47], the bootstrap philosophy was applied to the study of inflationary scalar correlators (see also [48–54] for related work).”