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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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 |
_version_ |
1725128547606986752 |