Diffusion coefficient matrix for multiple conserved charges: a Kubo approach
Abstract The strongly interacting matter created in relativistic heavy-ion collisions possesses several conserved quantum numbers, such as baryon number, strangeness, and electric charge. The diffusion process of these charges can be characterized by a diffusion matrix that describes the mutual infl...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)192 |
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| _version_ | 1841559902486528000 |
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| author | Sourav Dey Amaresh Jaiswal Hiranmaya Mishra |
| author_facet | Sourav Dey Amaresh Jaiswal Hiranmaya Mishra |
| author_sort | Sourav Dey |
| collection | DOAJ |
| description | Abstract The strongly interacting matter created in relativistic heavy-ion collisions possesses several conserved quantum numbers, such as baryon number, strangeness, and electric charge. The diffusion process of these charges can be characterized by a diffusion matrix that describes the mutual influence of the diffusion of various charges. We derive the Kubo relations for evaluating diffusion coefficients as elements of a diffusion matrix. We further demonstrate that in the weak coupling limit, the diffusion matrix elements obtained through Kubo relations reduce to those obtained from kinetic theory with an appropriate identification of the relaxation times. We illustrate this evaluation in a toy model of two interacting scalar fields with two conserved charges. |
| format | Article |
| id | doaj-art-a6dce8e8011f4675a542214ed9acd5ed |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-a6dce8e8011f4675a542214ed9acd5ed2025-01-05T12:06:01ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241215410.1007/JHEP12(2024)192Diffusion coefficient matrix for multiple conserved charges: a Kubo approachSourav Dey0Amaresh Jaiswal1Hiranmaya Mishra2School of Physical Sciences, National Institute of Science Education and ResearchSchool of Physical Sciences, National Institute of Science Education and ResearchSchool of Physical Sciences, National Institute of Science Education and ResearchAbstract The strongly interacting matter created in relativistic heavy-ion collisions possesses several conserved quantum numbers, such as baryon number, strangeness, and electric charge. The diffusion process of these charges can be characterized by a diffusion matrix that describes the mutual influence of the diffusion of various charges. We derive the Kubo relations for evaluating diffusion coefficients as elements of a diffusion matrix. We further demonstrate that in the weak coupling limit, the diffusion matrix elements obtained through Kubo relations reduce to those obtained from kinetic theory with an appropriate identification of the relaxation times. We illustrate this evaluation in a toy model of two interacting scalar fields with two conserved charges.https://doi.org/10.1007/JHEP12(2024)192Field Theory HydrodynamicsNon-Equilibrium Field TheoryThermal Field Theory |
| spellingShingle | Sourav Dey Amaresh Jaiswal Hiranmaya Mishra Diffusion coefficient matrix for multiple conserved charges: a Kubo approach Journal of High Energy Physics Field Theory Hydrodynamics Non-Equilibrium Field Theory Thermal Field Theory |
| title | Diffusion coefficient matrix for multiple conserved charges: a Kubo approach |
| title_full | Diffusion coefficient matrix for multiple conserved charges: a Kubo approach |
| title_fullStr | Diffusion coefficient matrix for multiple conserved charges: a Kubo approach |
| title_full_unstemmed | Diffusion coefficient matrix for multiple conserved charges: a Kubo approach |
| title_short | Diffusion coefficient matrix for multiple conserved charges: a Kubo approach |
| title_sort | diffusion coefficient matrix for multiple conserved charges a kubo approach |
| topic | Field Theory Hydrodynamics Non-Equilibrium Field Theory Thermal Field Theory |
| url | https://doi.org/10.1007/JHEP12(2024)192 |
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