Dodelson, Matthew and Ooguri, Hirosi (2020) The High Energy Behavior of Mellin Amplitudes. Physical Review D, 101 (6). Art. No. 066008. ISSN 2470-0010. doi:10.1103/PhysRevD.101.066008. https://resolver.caltech.edu/CaltechAUTHORS:20200205-143527298
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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.
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| 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. | ||||||||||||||
| Group: | Walter Burke Institute for Theoretical Physics | ||||||||||||||
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| Issue or Number: | 6 | ||||||||||||||
| DOI: | 10.1103/PhysRevD.101.066008 | ||||||||||||||
| Record Number: | CaltechAUTHORS:20200205-143527298 | ||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200205-143527298 | ||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||
| ID Code: | 101142 | ||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||
| Deposited By: | Joy Painter | ||||||||||||||
| Deposited On: | 06 Feb 2020 15:44 | ||||||||||||||
| Last Modified: | 16 Nov 2021 17:59 |
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