Published April 2019
| Submitted + Published
Journal Article
Open
p-adic Mellin amplitudes
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.
Additional Information
© 2019 The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received: January 12, 2019; Revised: March 24, 2019; Accepted: April 8, 2019; Published: April 15, 2019. C. B. J. and S. P. thank Steven S. Gubser, Matilde Marcolli, and Brian Trundy for useful discussions and encouragement. The work of C. B. J. was supported in part by the Department of Energy under Grant No. DE-FG02-91ER40671, by the US NSF under Grant No. PHY-1620059, and by the Simons Foundation, Grant 511167 (SSG).Attached Files
Published - Jepsen-Parikh2019_Article_P-adicMellinAmPlitudes.pdf
Submitted - 1808.08333.pdf
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Additional details
- Eprint ID
- 94780
- Resolver ID
- CaltechAUTHORS:20190418-082801867
- DE-FG02-91ER40671
- Department of Energy (DOE)
- PHY-1620059
- NSF
- 511167
- Simons Foundation
- Created
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2019-04-18Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field