Born-Oppenheimer renormalization group for high energy scattering: the setup and the wave function
Abstract We develop an approach to QCD evolution based on the sequential Born-Oppenheimer approximations that include higher and higher frequency modes as the evolution parameter is increased. This Born-Oppenheimer renormalization group is a general approach which is valid for the high energy evolut...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2025)136 |
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| _version_ | 1849226640509370368 |
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| author | Haowu Duan Alex Kovner Michael Lublinsky |
| author_facet | Haowu Duan Alex Kovner Michael Lublinsky |
| author_sort | Haowu Duan |
| collection | DOAJ |
| description | Abstract We develop an approach to QCD evolution based on the sequential Born-Oppenheimer approximations that include higher and higher frequency modes as the evolution parameter is increased. This Born-Oppenheimer renormalization group is a general approach which is valid for the high energy evolution as well as the evolution in transverse resolution scale Q 2. In the former case it yields the frequency ordered formulation of high energy evolution, which includes both the eikonal splittings which produce gluons with low longitudinal momentum, and the DGLAP-like splittings which produce partons with high transverse momentum. In this, first paper of the series we lay out the formulation of the approach, and derive the expression for the evolved wave function of a hadronic state. We also discuss the form of the S-matrix which is consistent with the frequency ordeing. |
| format | Article |
| id | doaj-art-4afb8ad9f2ca4306a953b38f66a6d47c |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-4afb8ad9f2ca4306a953b38f66a6d47c2025-08-24T11:05:07ZengSpringerOpenJournal of High Energy Physics1029-84792025-08-012025814710.1007/JHEP08(2025)136Born-Oppenheimer renormalization group for high energy scattering: the setup and the wave functionHaowu Duan0Alex Kovner1Michael Lublinsky2Physics Department, University of ConnecticutPhysics Department, University of ConnecticutPhysics Department, Ben-Gurion University of the NegevAbstract We develop an approach to QCD evolution based on the sequential Born-Oppenheimer approximations that include higher and higher frequency modes as the evolution parameter is increased. This Born-Oppenheimer renormalization group is a general approach which is valid for the high energy evolution as well as the evolution in transverse resolution scale Q 2. In the former case it yields the frequency ordered formulation of high energy evolution, which includes both the eikonal splittings which produce gluons with low longitudinal momentum, and the DGLAP-like splittings which produce partons with high transverse momentum. In this, first paper of the series we lay out the formulation of the approach, and derive the expression for the evolved wave function of a hadronic state. We also discuss the form of the S-matrix which is consistent with the frequency ordeing.https://doi.org/10.1007/JHEP08(2025)136Deep Inelastic Scattering or Small-x PhysicsFactorizationRenormalization GroupResummation |
| spellingShingle | Haowu Duan Alex Kovner Michael Lublinsky Born-Oppenheimer renormalization group for high energy scattering: the setup and the wave function Journal of High Energy Physics Deep Inelastic Scattering or Small-x Physics Factorization Renormalization Group Resummation |
| title | Born-Oppenheimer renormalization group for high energy scattering: the setup and the wave function |
| title_full | Born-Oppenheimer renormalization group for high energy scattering: the setup and the wave function |
| title_fullStr | Born-Oppenheimer renormalization group for high energy scattering: the setup and the wave function |
| title_full_unstemmed | Born-Oppenheimer renormalization group for high energy scattering: the setup and the wave function |
| title_short | Born-Oppenheimer renormalization group for high energy scattering: the setup and the wave function |
| title_sort | born oppenheimer renormalization group for high energy scattering the setup and the wave function |
| topic | Deep Inelastic Scattering or Small-x Physics Factorization Renormalization Group Resummation |
| url | https://doi.org/10.1007/JHEP08(2025)136 |
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