Engineering topics
Jepsen, Christian Baadsgaard
Publications and source records attributed to Jepsen, Christian Baadsgaard.
$p$-adic Mellin amplitudes
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
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗