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Lagrangians manifesting color-kinematics duality in the NMHV sector of Yang-Mills
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. Nordita, Stockholm University and KTH Royal Institute of Technology, Hannes Alfvéns väg 12, Stockholm 10691, Sweden.ORCID iD: 0000-0001-5236-0954
2023 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 2023, no 8, article id 222Article in journal (Refereed) Published
Abstract [en]

Scattering amplitudes in Yang-Mills theory are known to exhibit kinematic structures which hint to an underlying kinematic algebra that is dual to the gauge group color algebra. This color-kinematics duality is still poorly understood in terms of conventional Feynman rules, or from a Lagrangian formalism. In this work, we present explicit Lagrangians whose Feynman rules generate duality-satisfying tree-level BCJ numerators, to any multiplicity in the next-to-MHV sector of pure Yang-Mills theory. Our Lagrangians make use of at most three pairs of auxiliary fields (2, 1, 0-forms) — surprisingly few compared to previous attempts of Lagrangians at low multiplicities. To restrict the Lagrangian freedom it is necessary to make several non-trivial assumptions regarding field content, kinetic terms, and interactions, which we discuss in some detail. Future progress likely hinges on relaxing these assumptions.

Place, publisher, year, edition, pages
Springer, 2023. Vol. 2023, no 8, article id 222
Keywords [en]
Scattering Amplitudes, Duality in Gauge Field Theories
National Category
Other Physics Topics
Identifiers
URN: urn:nbn:se:uu:diva-524486DOI: 10.1007/JHEP08(2023)222ISI: 001188238100001OAI: oai:DiVA.org:uu-524486DiVA, id: diva2:1842681
Funder
Knut and Alice Wallenberg Foundation, KAW 2018.0116Knut and Alice Wallenberg Foundation, KAW 2018.0162Ragnar Söderbergs stiftelseAvailable from: 2024-03-05 Created: 2024-03-05 Last updated: 2024-04-09Bibliographically approved
In thesis
1. Exploring effective descriptions of gauge fields and strings: A Lagrangian approach with insights from color-kinematics duality
Open this publication in new window or tab >>Exploring effective descriptions of gauge fields and strings: A Lagrangian approach with insights from color-kinematics duality
2024 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The concept of a color-kinematics duality is an important driving force in advancing the modern understanding of scattering amplitudes, in both field theory and string theory. Yet, open questions remain that motivate the need for a deeper understanding of the duality. A central open question is: do the kinematic numerators admit a Lie-algebraic origin, just like the corresponding color factors? The answer may be intimately related to a detailed understanding of the duality at the level of the Lagrangian. For pure Yang-Mills theory, a cubic Lagrangian which directly computes color-dual numerators is not yet known. In this thesis, we make progress in this direction by constructing a cubic Lagrangian in terms of the ordinary gauge field and a set of auxiliary fields. The contributions to the numerators are split into independent sectors specified by the number of contractions between polarization vectors. We find a novel Lagrangian with a finite number of fields and interactions that computes color-dual Yang-Mills numerators to any multiplicity, valid for sectors with up to two polarization contractions. In the context of string theory, insights from the color-kinematics duality have revealed interesting relations between string and field theory amplitudes. The sector of open bosonic string amplitudes where transcendental numbers are absent is known to be described by a higher-derivative field theory. The spectrum of this theory includes a massless gauge field and extra massive modes: by integrating the latter out from the Lagrangian, we obtain an expansion in the inverse string tension, which is a low-energy effective description of the dynamics of the massless modes of the bosonic string. This thesis develops the general method and explicitly writes down the operators entering the effective Lagrangian through fourth order in the inverse string tension.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2024. p. 81
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 2372
Keywords
scattering amplitudes, double copy, gauge theory, string theory
National Category
Other Physics Topics
Research subject
Theoretical Physics
Identifiers
urn:nbn:se:uu:diva-524489 (URN)978-91-513-2057-1 (ISBN)
Public defence
2024-04-22, room 80101, Ångströmlaboratoriet, Lägerhyddsvägen 1, Uppsala, 13:15 (English)
Opponent
Supervisors
Available from: 2024-03-25 Created: 2024-03-06 Last updated: 2024-03-25
2. Color-Kinematics Duality and Gravitational Waves
Open this publication in new window or tab >>Color-Kinematics Duality and Gravitational Waves
2024 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Recent developments in theoretical physics have led to new insights for gauge theory and gravity scattering amplitudes.The color-kinematics duality, in particular, describes an intriguing set of identities obeyed by the kinematic numerators of gauge-theory scattering amplitudes, mirroring the Jacobi identity of the color factors.  The kinematic Jacobi identities suggest the existence of some unknown kinematic algebra underlying the gauge-theory Feynman rules. However, as of yet, there is no complete Lagrangian construction of duality-satisfying numerators, nor an off-shell realization of a kinematic algebra even for pure Yang-Mills gauge theory. This thesis presents substantial progress on these open problems, first through a Lagrangian whose Feynman rules compute duality-satisfying numerators in the NMHV sector of Yang-Mills theory. In addition, Chern-Simons gauge theory is shown to obey the color-kinematics duality completely off shell, giving rise to a kinematic algebra of volume preserving diffeomorphisms. Similar structures are also identified in the pure-spinor description of super Yang-Mills theory.

The recent detection of gravitational waves by the LIGO/Virgo/KAGRA collaboration, as well as anticipated improvement in sensitivity of future detectors, call for improved precision of the theoretical predictions for binary merger events. Analytical computations involving gravitating and rotating compact objects require both increased classical loop orders in the gravitational coupling as well as the incorporation of spin effects, which have important contributions to the dynamics. For this purpose, an extension of the worldline quantum field theory is presented, based on the effective worldline action of a classical spinning compact object. The formalism is used to compute tree and one-loop amplitudes up to fourth order in spin, and coefficients in the effective worldline action are fixed such that it reproduces known Kerr observables from black hole perturbation theory.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2024. p. 68
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 2378
Keywords
Quantum field theory, gravitational waves, scattering amplitudes
National Category
Other Physics Topics
Research subject
Theoretical Philosophy
Identifiers
urn:nbn:se:uu:diva-525574 (URN)978-91-513-2078-6 (ISBN)
Public defence
2024-05-16, Häggsalen, Ångströmlaboratoriet, Lägerhyddsvägen 1, Uppsala, 13:00 (English)
Opponent
Supervisors
Available from: 2024-04-23 Created: 2024-03-24 Last updated: 2024-04-23

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Ben-Shahar, MaorGarozzo, LuciaJohansson, Henrik

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