On running coupling in the JIMWLK evolution and its Langevin formulation
Abstract Various conventional running coupling prescriptions reproducing β 0-dependent terms of NLO JIMWLK are reviewed and found to be theoretically inconsistent: the JIMWLK evolution Hamiltonian with running coupling violates the requirement of positive semidefiniteness. This requirement appears t...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2024)131 |
| _version_ | 1797247565637353472 |
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| author | Tolga Altinoluk Guillaume Beuf Michael Lublinsky Vladimir V. Skokov |
| author_facet | Tolga Altinoluk Guillaume Beuf Michael Lublinsky Vladimir V. Skokov |
| author_sort | Tolga Altinoluk |
| collection | DOAJ |
| description | Abstract Various conventional running coupling prescriptions reproducing β 0-dependent terms of NLO JIMWLK are reviewed and found to be theoretically inconsistent: the JIMWLK evolution Hamiltonian with running coupling violates the requirement of positive semidefiniteness. This requirement appears to be tightly related to the possibility of having a Langevin formulation for the evolution. We also review the scheme that attributes a part of β 0-dependent terms to the DGLAP evolution of the projectile. The remaining β 0-dependent contributions sum up into so-called “daughter dipole” prescription, which leads to a manifestly positive semidefinite Hamiltonian. |
| first_indexed | 2024-04-24T20:00:43Z |
| format | Article |
| id | doaj.art-cd2f11b38d5d44fcbbdf327c2fe60cd9 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T20:00:43Z |
| publishDate | 2024-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-cd2f11b38d5d44fcbbdf327c2fe60cd92024-03-24T12:08:53ZengSpringerOpenJournal of High Energy Physics1029-84792024-03-012024312810.1007/JHEP03(2024)131On running coupling in the JIMWLK evolution and its Langevin formulationTolga Altinoluk0Guillaume Beuf1Michael Lublinsky2Vladimir V. Skokov3National Centre for Nuclear ResearchNational Centre for Nuclear ResearchPhysics Department, Ben-Gurion University of the NegevDepartment of Physics, North Carolina State UniversityAbstract Various conventional running coupling prescriptions reproducing β 0-dependent terms of NLO JIMWLK are reviewed and found to be theoretically inconsistent: the JIMWLK evolution Hamiltonian with running coupling violates the requirement of positive semidefiniteness. This requirement appears to be tightly related to the possibility of having a Langevin formulation for the evolution. We also review the scheme that attributes a part of β 0-dependent terms to the DGLAP evolution of the projectile. The remaining β 0-dependent contributions sum up into so-called “daughter dipole” prescription, which leads to a manifestly positive semidefinite Hamiltonian.https://doi.org/10.1007/JHEP03(2024)131Deep Inelastic Scattering or Small-x PhysicsResummationEffective Field Theories of QCD |
| spellingShingle | Tolga Altinoluk Guillaume Beuf Michael Lublinsky Vladimir V. Skokov On running coupling in the JIMWLK evolution and its Langevin formulation Journal of High Energy Physics Deep Inelastic Scattering or Small-x Physics Resummation Effective Field Theories of QCD |
| title | On running coupling in the JIMWLK evolution and its Langevin formulation |
| title_full | On running coupling in the JIMWLK evolution and its Langevin formulation |
| title_fullStr | On running coupling in the JIMWLK evolution and its Langevin formulation |
| title_full_unstemmed | On running coupling in the JIMWLK evolution and its Langevin formulation |
| title_short | On running coupling in the JIMWLK evolution and its Langevin formulation |
| title_sort | on running coupling in the jimwlk evolution and its langevin formulation |
| topic | Deep Inelastic Scattering or Small-x Physics Resummation Effective Field Theories of QCD |
| url | https://doi.org/10.1007/JHEP03(2024)131 |
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