Abstract
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.
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Jepsen, C.B., Parikh, S. p-adic Mellin amplitudes. J. High Energ. Phys. 2019, 101 (2019). https://doi.org/10.1007/JHEP04(2019)101
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DOI: https://doi.org/10.1007/JHEP04(2019)101