Uniqueness from gauge invariance and the Adler zero

Abstract In this paper we provide detailed proofs for some of the uniqueness results presented in ref. [1]. We show that: (1) Yang-Mills and General Relativity tree-level amplitudes are completely determined by gauge invariance in n − 1 particles, with minimal assumptions on the singularity structur...

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Main Author: Laurentiu Rodina
Format: Article
Language:English
Published: SpringerOpen 2019-09-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP09(2019)084
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spelling doaj-159bc8c5e64640f695e84366882832602020-11-25T01:21:54ZengSpringerOpenJournal of High Energy Physics1029-84792019-09-012019912510.1007/JHEP09(2019)084Uniqueness from gauge invariance and the Adler zeroLaurentiu Rodina0Department of Physics, Princeton UniversityAbstract In this paper we provide detailed proofs for some of the uniqueness results presented in ref. [1]. We show that: (1) Yang-Mills and General Relativity tree-level amplitudes are completely determined by gauge invariance in n − 1 particles, with minimal assumptions on the singularity structure; (2) scalar non-linear sigma model and Dirac-Born-Infeld tree-level amplitudes are fixed by imposing full locality and the Adler zero condition (vanishing in the single soft limit) on n − 1 particles. We complete the proofs by showing uniqueness order by order in the single soft expansion for Yang-Mills and General Relativity, and the double soft expansion for NLSM and DBI. We further present evidence for a greater conjecture regarding Yang-Mills amplitudes, that a maximally constrained gauge invariance alone leads to both locality and unitarity, without any assumptions on the existence of singularities. In this case the solution is not unique, but a linear combination of amplitude numerators.http://link.springer.com/article/10.1007/JHEP09(2019)084Gauge SymmetryPerturbative QCDScattering AmplitudesSigma Models
collection DOAJ
language English
format Article
sources DOAJ
author Laurentiu Rodina
spellingShingle Laurentiu Rodina
Uniqueness from gauge invariance and the Adler zero
Journal of High Energy Physics
Gauge Symmetry
Perturbative QCD
Scattering Amplitudes
Sigma Models
author_facet Laurentiu Rodina
author_sort Laurentiu Rodina
title Uniqueness from gauge invariance and the Adler zero
title_short Uniqueness from gauge invariance and the Adler zero
title_full Uniqueness from gauge invariance and the Adler zero
title_fullStr Uniqueness from gauge invariance and the Adler zero
title_full_unstemmed Uniqueness from gauge invariance and the Adler zero
title_sort uniqueness from gauge invariance and the adler zero
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2019-09-01
description Abstract In this paper we provide detailed proofs for some of the uniqueness results presented in ref. [1]. We show that: (1) Yang-Mills and General Relativity tree-level amplitudes are completely determined by gauge invariance in n − 1 particles, with minimal assumptions on the singularity structure; (2) scalar non-linear sigma model and Dirac-Born-Infeld tree-level amplitudes are fixed by imposing full locality and the Adler zero condition (vanishing in the single soft limit) on n − 1 particles. We complete the proofs by showing uniqueness order by order in the single soft expansion for Yang-Mills and General Relativity, and the double soft expansion for NLSM and DBI. We further present evidence for a greater conjecture regarding Yang-Mills amplitudes, that a maximally constrained gauge invariance alone leads to both locality and unitarity, without any assumptions on the existence of singularities. In this case the solution is not unique, but a linear combination of amplitude numerators.
topic Gauge Symmetry
Perturbative QCD
Scattering Amplitudes
Sigma Models
url http://link.springer.com/article/10.1007/JHEP09(2019)084
work_keys_str_mv AT laurentiurodina uniquenessfromgaugeinvarianceandtheadlerzero
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