Gravity on-shell diagrams
Abstract
We study on-shell diagrams for gravity theories with any number of super-symmetries and find a compact Grassmannian formula in terms of edge variables of the graphs. Unlike in gauge theory where the analogous form involves only d log-factors, in gravity there is a non-trivial numerator as well as higher degree poles in the edge variables. Based on the structure of the Grassmannian formula for $$\mathcal{N}$$ = 8 supergravity we conjecture that gravity loop amplitudes also possess similar properties. In particular, we find that there are only logarithmic singularities on cuts with finite loop momentum and that poles at infinity are present, in complete agreement with the conjecture presented in[1].
- Authors:
-
- California Inst. of Technology (CalTech), Pasadena, CA (United States)
- Univ. of California, Davis, CA (United States)
- Publication Date:
- Research Org.:
- California Institute of Technology (CalTech), Pasadena, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1360112
- Alternate Identifier(s):
- OSTI ID: 1596445
- Grant/Contract Number:
- SC0011632
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 11; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; scattering amplitudes; spacetime singularities
Citation Formats
Herrmann, Enrico, and Trnka, Jaroslav. Gravity on-shell diagrams. United States: N. p., 2016.
Web. doi:10.1007/JHEP11(2016)136.
Herrmann, Enrico, & Trnka, Jaroslav. Gravity on-shell diagrams. United States. https://doi.org/10.1007/JHEP11(2016)136
Herrmann, Enrico, and Trnka, Jaroslav. Tue .
"Gravity on-shell diagrams". United States. https://doi.org/10.1007/JHEP11(2016)136. https://www.osti.gov/servlets/purl/1360112.
@article{osti_1360112,
title = {Gravity on-shell diagrams},
author = {Herrmann, Enrico and Trnka, Jaroslav},
abstractNote = {We study on-shell diagrams for gravity theories with any number of super-symmetries and find a compact Grassmannian formula in terms of edge variables of the graphs. Unlike in gauge theory where the analogous form involves only d log-factors, in gravity there is a non-trivial numerator as well as higher degree poles in the edge variables. Based on the structure of the Grassmannian formula for $\mathcal{N}$ = 8 supergravity we conjecture that gravity loop amplitudes also possess similar properties. In particular, we find that there are only logarithmic singularities on cuts with finite loop momentum and that poles at infinity are present, in complete agreement with the conjecture presented in[1].},
doi = {10.1007/JHEP11(2016)136},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2016,
place = {United States},
year = {Tue Nov 22 00:00:00 EST 2016},
month = {Tue Nov 22 00:00:00 EST 2016}
}
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Is <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>8</mml:mn></mml:math> supergravity ultraviolet finite?
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