$p$-adic Mellin Amplitudes - INSPIRE

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$p$ -adic Mellin Amplitudes

Christian Baadsgaard Jepsen
(
- Princeton U.
)
,
Sarthak Parikh
(
- Caltech
)

Aug 24, 2018

60 pages

Published in:

JHEP 04 (2019) 101

Published: Apr 15, 2019

e-Print:

1808.08333 [hep-th]

DOI:

10.1007/JHEP04(2019)101

Report number:

PUPT-2565

View in:

reference search23 citations

Citations per year

Abstract: (Springer)

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.

Note:

60 pages, several figures. v2: Minor typos fixed, references added

AdS-CFT Correspondence
Scattering Amplitudes
Classical Theories of Gravity
Lattice Models of Gravity
operator: scalar
tree approximation
simplex

References(73)

Figures(8)

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