Published March 15, 2020
| Submitted + Published
Journal Article
Open
The High Energy Behavior of Mellin Amplitudes
- Creators
- Dodelson, Matthew
-
Ooguri, Hirosi
Abstract
In any consistent massive quantum field theory there are well-known bounds on scattering amplitudes at high energies. In conformal field theory there is no scattering amplitude, but the Mellin amplitude is a well-defined object analogous to the scattering amplitude. We prove bounds at high energies on Mellin amplitudes in conformal field theories, valid under certain technical assumptions. Such bounds are derived by demanding the absence of spurious singularities in position space correlators. We also conjecture a stronger bound, based on evidence from several explicit examples.
Additional Information
© 2020 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3. Received 20 December 2019; accepted 12 February 2020; published 12 March 2020. We thank C. Cardona, J. Maldacena, J. Penedones, J. Silva, D. Simmons-Duffin, and A. Zhiboedov for discussions. This work is supported in part by the World Premier International Research Center Initiative, MEXT, Japan. The work of H. O. is also supported in part by U.S. Department of Energy Grant No. DE-SC0011632, by JSPS Grant-in-Aid for Scientific Research C-26400240, and by JSPS Grant-in-Aid for Scientific Research on Innovative Areas 15H05895. H. O. thanks the Aspen Center for Theoretical Physics, which is supported by the National Science Foundation Grant No. PHY-1607611, where part of this work was done.Attached Files
Published - PhysRevD.101.066008.pdf
Submitted - 1911.05274.pdf
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1911.05274.pdf
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Additional details
- Eprint ID
- 101142
- Resolver ID
- CaltechAUTHORS:20200205-143527298
- Ministry of Education, Culture, Sports, Science and Technology (MEXT)
- DE-SC0011632
- Department of Energy (DOE)
- C-26400240
- Japan Society for the Promotion of Science (JSPS)
- 15H05895
- Japan Society for the Promotion of Science (JSPS)
- PHY-1607611
- NSF
- SCOAP3
- Created
-
2020-02-06Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics
- Other Numbering System Name
- CALT-TH
- Other Numbering System Identifier
- 2019-049