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p-adic Mellin amplitudes
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DOI：10.1007/JHEP04(2019)101.png)
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Abstract
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In this paper, we propose a p-adic analog of Mellin amplitudes for scalar operators, and present the computation of the general contact amplitude as well as arbitrary-point tree-level amplitudes for bulk diagrams involving up to three internal lines, and along the way obtain the p-adic version of the split representation formula. These amplitudes share noteworthy similarities with the usual (real) Mellin amplitudes for scalars, but are also significantly simpler, admitting closed-form expressions where none are available over the reals. The dramatic simplicity can be attributed to the absence of descendant fields in the p-adic formulation.
Keywords:
AdS-CFT Correspondence
Scattering Amplitudes
Classical Theories of Gravity
Lattice Models of Gravity
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