Perturbiner methods for effective field theories and the double copy
Abstract Perturbiner expansion provides a generating function for all Berends-Giele currents in a given quantum field theory. We apply this method to various effective field theories with and without color degrees of freedom. In the colored case, we study the U(N) non-linear sigma model of Goldstone...
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Online Access: | http://link.springer.com/article/10.1007/JHEP10(2018)018 |
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doaj-c5ffb6aedc994873bb259723bc06163c2020-11-25T01:51:49ZengSpringerOpenJournal of High Energy Physics1029-84792018-10-0120181014710.1007/JHEP10(2018)018Perturbiner methods for effective field theories and the double copySebastian Mizera0Barbara Skrzypek1Perimeter Institute for Theoretical PhysicsPerimeter Institute for Theoretical PhysicsAbstract Perturbiner expansion provides a generating function for all Berends-Giele currents in a given quantum field theory. We apply this method to various effective field theories with and without color degrees of freedom. In the colored case, we study the U(N) non-linear sigma model of Goldstone bosons (NLSM) in a recent parametrization due to Cheung and Shen, as well as its extension involving a coupling to the bi-adjoint scalar. We propose a Lagrangian and a Cachazo-He-Yuan formula for the latter valid in multi-trace sectors and systematically calculate its amplitudes. Furthermore, we make a similar proposal for a higher-derivative correction to NLSM that agrees with the subleading order of the abelian Z-theory. In the colorless cases, we formulate perturbiner expansions for the special Galileon and Born-Infeld theories. Finally, we study Kawai-Lewellen-Tye-like double-copy relations for Berends-Giele currents between the above colored and colorless theories. We find that they hold up to pure gauge terms, but without the need for further field redefinitions.http://link.springer.com/article/10.1007/JHEP10(2018)018Scattering AmplitudesEffective Field TheoriesField Theories in Higher Dimensions |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Sebastian Mizera Barbara Skrzypek |
spellingShingle |
Sebastian Mizera Barbara Skrzypek Perturbiner methods for effective field theories and the double copy Journal of High Energy Physics Scattering Amplitudes Effective Field Theories Field Theories in Higher Dimensions |
author_facet |
Sebastian Mizera Barbara Skrzypek |
author_sort |
Sebastian Mizera |
title |
Perturbiner methods for effective field theories and the double copy |
title_short |
Perturbiner methods for effective field theories and the double copy |
title_full |
Perturbiner methods for effective field theories and the double copy |
title_fullStr |
Perturbiner methods for effective field theories and the double copy |
title_full_unstemmed |
Perturbiner methods for effective field theories and the double copy |
title_sort |
perturbiner methods for effective field theories and the double copy |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2018-10-01 |
description |
Abstract Perturbiner expansion provides a generating function for all Berends-Giele currents in a given quantum field theory. We apply this method to various effective field theories with and without color degrees of freedom. In the colored case, we study the U(N) non-linear sigma model of Goldstone bosons (NLSM) in a recent parametrization due to Cheung and Shen, as well as its extension involving a coupling to the bi-adjoint scalar. We propose a Lagrangian and a Cachazo-He-Yuan formula for the latter valid in multi-trace sectors and systematically calculate its amplitudes. Furthermore, we make a similar proposal for a higher-derivative correction to NLSM that agrees with the subleading order of the abelian Z-theory. In the colorless cases, we formulate perturbiner expansions for the special Galileon and Born-Infeld theories. Finally, we study Kawai-Lewellen-Tye-like double-copy relations for Berends-Giele currents between the above colored and colorless theories. We find that they hold up to pure gauge terms, but without the need for further field redefinitions. |
topic |
Scattering Amplitudes Effective Field Theories Field Theories in Higher Dimensions |
url |
http://link.springer.com/article/10.1007/JHEP10(2018)018 |
work_keys_str_mv |
AT sebastianmizera perturbinermethodsforeffectivefieldtheoriesandthedoublecopy AT barbaraskrzypek perturbinermethodsforeffectivefieldtheoriesandthedoublecopy |
_version_ |
1724996095693553664 |