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Title: Origin of the Six-Gluon Amplitude in Planar N = 4 Supersymmetric Yang-Mills Theory

Abstract

We study the maximally-helicity-violating six-gluon scattering amplitude in planar N = 4 super-Yang-Mills theory at finite coupling when all three cross ratios are small. It exhibits a double logarithmic scaling in the cross ratios, controlled by a handful of “anomalous dimensions” that are functions of the coupling constant alone. Inspired by known seven-loop results at weak coupling and the integrability-based pentagon operator product expansion, we present conjectures for the all-order resummation of these anomalous dimensions. At strong coupling, our predictions agree perfectly with the string theory analysis. Intriguingly, the simplest of these anomalous dimensions coincides with one describing the lightlike limit of the octagon, namely, the four-point function of large-charge Bogomol’nyi–Prasad–Sommerfield (BPS) operators.

Authors:
; ORCiD logo; ORCiD logo
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); French National Agency for Research
OSTI Identifier:
1615708
Alternate Identifier(s):
OSTI ID: 1616294
Report Number(s):
SLAC-PUB-17501
Journal ID: ISSN 0031-9007; PRLTAO; 161603
Grant/Contract Number:  
AC02-76SF00515; ANR-17-CE31-0001-02
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 124 Journal Issue: 16; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; field & string theory models & techniques; quantum field theory; scattering amplitudes

Citation Formats

Basso, Benjamin, Dixon, Lance J., and Papathanasiou, Georgios. Origin of the Six-Gluon Amplitude in Planar N = 4 Supersymmetric Yang-Mills Theory. United States: N. p., 2020. Web. doi:10.1103/PhysRevLett.124.161603.
Basso, Benjamin, Dixon, Lance J., & Papathanasiou, Georgios. Origin of the Six-Gluon Amplitude in Planar N = 4 Supersymmetric Yang-Mills Theory. United States. doi:10.1103/PhysRevLett.124.161603.
Basso, Benjamin, Dixon, Lance J., and Papathanasiou, Georgios. Wed . "Origin of the Six-Gluon Amplitude in Planar N = 4 Supersymmetric Yang-Mills Theory". United States. doi:10.1103/PhysRevLett.124.161603.
@article{osti_1615708,
title = {Origin of the Six-Gluon Amplitude in Planar N = 4 Supersymmetric Yang-Mills Theory},
author = {Basso, Benjamin and Dixon, Lance J. and Papathanasiou, Georgios},
abstractNote = {We study the maximally-helicity-violating six-gluon scattering amplitude in planar N=4 super-Yang-Mills theory at finite coupling when all three cross ratios are small. It exhibits a double logarithmic scaling in the cross ratios, controlled by a handful of “anomalous dimensions” that are functions of the coupling constant alone. Inspired by known seven-loop results at weak coupling and the integrability-based pentagon operator product expansion, we present conjectures for the all-order resummation of these anomalous dimensions. At strong coupling, our predictions agree perfectly with the string theory analysis. Intriguingly, the simplest of these anomalous dimensions coincides with one describing the lightlike limit of the octagon, namely, the four-point function of large-charge Bogomol’nyi–Prasad–Sommerfield (BPS) operators.},
doi = {10.1103/PhysRevLett.124.161603},
journal = {Physical Review Letters},
number = 16,
volume = 124,
place = {United States},
year = {2020},
month = {4}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevLett.124.161603

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    Works referencing / citing this record:

    The Origin of the Six-Gluon Amplitude in Planar $\mathcal{N}=4$ SYM
    text, January 2020

    • Basso, Benjamin; Dixon, Lance J.; Papathanasiou, Georgios
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2020-01802