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Title: Gluon amplitudes as 2 d conformal correlators

Abstract

Recently, spin-one wave functions in four dimensions that are conformal primaries of the Lorentz group S L ( 2 , C ) were constructed. Herein, we compute low-point, tree-level gluon scattering amplitudes in the space of these conformal primary wave functions. The answers show the same conformal covariance as correlators of spin-one primaries in a 2 d CFT. The Britto–Cachazo–Feng–Witten (BCFW) recursion relation between three- and four-point gluon amplitudes is recast into this conformal basis.

Authors:
 [1];  [2];  [1]
  1. Harvard Univ., Cambridge, MA (United States). Center for the Fundamental Laws of Nature
  2. Institute for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
Publication Date:
Research Org.:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF); Harold and Ruth Newman Fellowship
OSTI Identifier:
1598785
Alternate Identifier(s):
OSTI ID: 1405206
Grant/Contract Number:  
SC0007870; PHY-1606531
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 8; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Pasterski, Sabrina, Shao, Shu-Heng, and Strominger, Andrew. Gluon amplitudes as 2d conformal correlators. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.96.085006.
Pasterski, Sabrina, Shao, Shu-Heng, & Strominger, Andrew. Gluon amplitudes as 2d conformal correlators. United States. doi:10.1103/PhysRevD.96.085006.
Pasterski, Sabrina, Shao, Shu-Heng, and Strominger, Andrew. Fri . "Gluon amplitudes as 2d conformal correlators". United States. doi:10.1103/PhysRevD.96.085006. https://www.osti.gov/servlets/purl/1598785.
@article{osti_1598785,
title = {Gluon amplitudes as 2d conformal correlators},
author = {Pasterski, Sabrina and Shao, Shu-Heng and Strominger, Andrew},
abstractNote = {Recently, spin-one wave functions in four dimensions that are conformal primaries of the Lorentz group SL(2,C) were constructed. Herein, we compute low-point, tree-level gluon scattering amplitudes in the space of these conformal primary wave functions. The answers show the same conformal covariance as correlators of spin-one primaries in a 2d CFT. The Britto–Cachazo–Feng–Witten (BCFW) recursion relation between three- and four-point gluon amplitudes is recast into this conformal basis.},
doi = {10.1103/PhysRevD.96.085006},
journal = {Physical Review D},
number = 8,
volume = 96,
place = {United States},
year = {2017},
month = {10}
}

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Cited by: 7 works
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