Singularity Structure of Maximally Supersymmetric Scattering Amplitudes
Abstract
We introduce here evidence that loop amplitudes in maximally supersymmetric ( ) Yang-Mills theory (SYM) beyond the planar limit share some of the remarkable structures of the planar theory. In particular, we show that through two loops, the four-particle amplitude in full SYM has only logarithmic singularities and is free of any poles at infinity—properties closely related to uniform transcendentality and the UV finiteness of the theory. Furthermore, we briefly comment on implications for maximal ( ) supergravity theory (SUGRA).
- Authors:
-
- Institute for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
- Univ. of Copenhagen (Denmark). The Niels Bohr Inst.
- Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
- California Institute of Technology (CalTech), Pasadena, CA (United States)
- Publication Date:
- Research Org.:
- California Institute of Technology (CalTech), Pasadena, CA (United States); Harvard Univ., Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1600721
- Alternate Identifier(s):
- OSTI ID: 1181235
- Grant/Contract Number:
- SC0011632; FG02-91ER40654
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 113; Journal Issue: 26; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Arkani-Hamed, Nima, Bourjaily, Jacob L., Cachazo, Freddy, and Trnka, Jaroslav. Singularity Structure of Maximally Supersymmetric Scattering Amplitudes. United States: N. p., 2014.
Web. doi:10.1103/PhysRevLett.113.261603.
Arkani-Hamed, Nima, Bourjaily, Jacob L., Cachazo, Freddy, & Trnka, Jaroslav. Singularity Structure of Maximally Supersymmetric Scattering Amplitudes. United States. https://doi.org/10.1103/PhysRevLett.113.261603
Arkani-Hamed, Nima, Bourjaily, Jacob L., Cachazo, Freddy, and Trnka, Jaroslav. Mon .
"Singularity Structure of Maximally Supersymmetric Scattering Amplitudes". United States. https://doi.org/10.1103/PhysRevLett.113.261603. https://www.osti.gov/servlets/purl/1600721.
@article{osti_1600721,
title = {Singularity Structure of Maximally Supersymmetric Scattering Amplitudes},
author = {Arkani-Hamed, Nima and Bourjaily, Jacob L. and Cachazo, Freddy and Trnka, Jaroslav},
abstractNote = {We introduce here evidence that loop amplitudes in maximally supersymmetric (N=4) Yang-Mills theory (SYM) beyond the planar limit share some of the remarkable structures of the planar theory. In particular, we show that through two loops, the four-particle amplitude in full N=4 SYM has only logarithmic singularities and is free of any poles at infinity—properties closely related to uniform transcendentality and the UV finiteness of the theory. Furthermore, we briefly comment on implications for maximal (N=8) supergravity theory (SUGRA).},
doi = {10.1103/PhysRevLett.113.261603},
journal = {Physical Review Letters},
number = 26,
volume = 113,
place = {United States},
year = {Mon Dec 29 00:00:00 EST 2014},
month = {Mon Dec 29 00:00:00 EST 2014}
}
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