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Title: High-energy behavior of Mellin amplitudes

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.

Authors:
;
Publication Date:
Research Org.:
California Institute of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC); Ministry of Education, Culture, Sports, Science and Technology (MEXT); Japan Society for the Promotion of Science (JSPS); National Science Foundation (NSF)
OSTI Identifier:
1604494
Alternate Identifier(s):
OSTI ID: 1802224
Grant/Contract Number:  
SC0011632; C-26400240; 15H05895; PHY-1607611
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 6; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Astronomy & Astrophysics; Physics

Citation Formats

Dodelson, Matthew, and Ooguri, Hirosi. High-energy behavior of Mellin amplitudes. United States: N. p., 2020. Web. doi:10.1103/PhysRevD.101.066008.
Dodelson, Matthew, & Ooguri, Hirosi. High-energy behavior of Mellin amplitudes. United States. https://doi.org/10.1103/PhysRevD.101.066008
Dodelson, Matthew, and Ooguri, Hirosi. Thu . "High-energy behavior of Mellin amplitudes". United States. https://doi.org/10.1103/PhysRevD.101.066008.
@article{osti_1604494,
title = {High-energy behavior of Mellin amplitudes},
author = {Dodelson, Matthew and Ooguri, Hirosi},
abstractNote = {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.},
doi = {10.1103/PhysRevD.101.066008},
journal = {Physical Review D},
number = 6,
volume = 101,
place = {United States},
year = {2020},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.101.066008

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Cited by: 3 works
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