Time-dependent solutions of biadjoint scalar field theories

Biadjoint scalar field theories appear in the study of scattering amplitudes and classical solutions in gauge, gravity and related theories. In this paper, we present new exact solutions of biadjoint scalar field theory, showing that time-dependent solutions are possible and analytically tractable....

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Main Authors: Kymani Armstrong-Williams, Chris D. White
Format: Article
Language:English
Published: Elsevier 2025-07-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269325002783
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author Kymani Armstrong-Williams
Chris D. White
author_facet Kymani Armstrong-Williams
Chris D. White
author_sort Kymani Armstrong-Williams
collection DOAJ
description Biadjoint scalar field theories appear in the study of scattering amplitudes and classical solutions in gauge, gravity and related theories. In this paper, we present new exact solutions of biadjoint scalar field theory, showing that time-dependent solutions are possible and analytically tractable. We generalise the theory to include mass and / or quartic terms, and also a coupling to a constant current. This allows for more exact solutions, which make contact with previous soliton literature. We also find bounded solutions, in contrast to all known previous examples. Our results may be useful for the study of non-perturbative aspects of the double copy between gauge theories and gravity. We also speculate as to their possible practical applications.
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spelling doaj-art-96fdd150fd784c53b18b3043be2b4f8c2025-08-20T03:11:03ZengElsevierPhysics Letters B0370-26932025-07-0186613951710.1016/j.physletb.2025.139517Time-dependent solutions of biadjoint scalar field theoriesKymani Armstrong-Williams0Chris D. White1Centre for Theoretical Physics, School of Physical and Chemical Sciences, Queen Mary University of London, 327 Mile End Road, London E1 4NS, UKCorresponding author.; Centre for Theoretical Physics, School of Physical and Chemical Sciences, Queen Mary University of London, 327 Mile End Road, London E1 4NS, UKBiadjoint scalar field theories appear in the study of scattering amplitudes and classical solutions in gauge, gravity and related theories. In this paper, we present new exact solutions of biadjoint scalar field theory, showing that time-dependent solutions are possible and analytically tractable. We generalise the theory to include mass and / or quartic terms, and also a coupling to a constant current. This allows for more exact solutions, which make contact with previous soliton literature. We also find bounded solutions, in contrast to all known previous examples. Our results may be useful for the study of non-perturbative aspects of the double copy between gauge theories and gravity. We also speculate as to their possible practical applications.http://www.sciencedirect.com/science/article/pii/S0370269325002783
spellingShingle Kymani Armstrong-Williams
Chris D. White
Time-dependent solutions of biadjoint scalar field theories
Physics Letters B
title Time-dependent solutions of biadjoint scalar field theories
title_full Time-dependent solutions of biadjoint scalar field theories
title_fullStr Time-dependent solutions of biadjoint scalar field theories
title_full_unstemmed Time-dependent solutions of biadjoint scalar field theories
title_short Time-dependent solutions of biadjoint scalar field theories
title_sort time dependent solutions of biadjoint scalar field theories
url http://www.sciencedirect.com/science/article/pii/S0370269325002783
work_keys_str_mv AT kymaniarmstrongwilliams timedependentsolutionsofbiadjointscalarfieldtheories
AT chrisdwhite timedependentsolutionsofbiadjointscalarfieldtheories