The g 6 pressure of hot Yang-Mills theory: canonical form of the integrand
Abstract We present major progress towards the determination of the last missing piece for the pressure of a Yang-Mills plasma at high temperatures at order g 6 in the strong coupling constant. This order is of key importance due to its role in resolving the long-standing infrared problem of finite-...
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| Format: | Article |
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SpringerOpen
2024-11-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP11(2024)037 |
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| author | Pablo Navarrete York Schröder |
| author_facet | Pablo Navarrete York Schröder |
| author_sort | Pablo Navarrete |
| collection | DOAJ |
| description | Abstract We present major progress towards the determination of the last missing piece for the pressure of a Yang-Mills plasma at high temperatures at order g 6 in the strong coupling constant. This order is of key importance due to its role in resolving the long-standing infrared problem of finite-temperature field theory within a dimensionally reduced effective field theory setup. By systematically applying linear transformations of integration variables, or momentum shifts, we resolve equivalences between different representations of Feynman sum-integrals on the integrand level, transforming those into a canonical form. At the order g 6, this results in reducing a sum of O $$ \mathcal{O} $$ (100000) distinct sum-integrals which are produced from all four-loop vacuum diagrams down to merely 21. Furthermore, we succeed to map 11 of those onto known lower-loop structures. This leaves only 10 genuine 4-loop sum-integrals to be evaluated, thereby bringing the finalization of three decades of theoretical efforts within reach. |
| format | Article |
| id | doaj-art-ad8150fc8956445d9219a15d11bb952e |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-ad8150fc8956445d9219a15d11bb952e2024-12-08T12:09:36ZengSpringerOpenJournal of High Energy Physics1029-84792024-11-0120241112010.1007/JHEP11(2024)037The g 6 pressure of hot Yang-Mills theory: canonical form of the integrandPablo Navarrete0York Schröder1Centro de Ciencias Exactas, Departamento de Ciencias Básicas, Universidad del Bío-BíoCentro de Ciencias Exactas, Departamento de Ciencias Básicas, Universidad del Bío-BíoAbstract We present major progress towards the determination of the last missing piece for the pressure of a Yang-Mills plasma at high temperatures at order g 6 in the strong coupling constant. This order is of key importance due to its role in resolving the long-standing infrared problem of finite-temperature field theory within a dimensionally reduced effective field theory setup. By systematically applying linear transformations of integration variables, or momentum shifts, we resolve equivalences between different representations of Feynman sum-integrals on the integrand level, transforming those into a canonical form. At the order g 6, this results in reducing a sum of O $$ \mathcal{O} $$ (100000) distinct sum-integrals which are produced from all four-loop vacuum diagrams down to merely 21. Furthermore, we succeed to map 11 of those onto known lower-loop structures. This leaves only 10 genuine 4-loop sum-integrals to be evaluated, thereby bringing the finalization of three decades of theoretical efforts within reach.https://doi.org/10.1007/JHEP11(2024)037Effective Field Theories of QCDFinite Temperature or Finite DensityHigher-Order Perturbative CalculationsThermal Field Theory |
| spellingShingle | Pablo Navarrete York Schröder The g 6 pressure of hot Yang-Mills theory: canonical form of the integrand Journal of High Energy Physics Effective Field Theories of QCD Finite Temperature or Finite Density Higher-Order Perturbative Calculations Thermal Field Theory |
| title | The g 6 pressure of hot Yang-Mills theory: canonical form of the integrand |
| title_full | The g 6 pressure of hot Yang-Mills theory: canonical form of the integrand |
| title_fullStr | The g 6 pressure of hot Yang-Mills theory: canonical form of the integrand |
| title_full_unstemmed | The g 6 pressure of hot Yang-Mills theory: canonical form of the integrand |
| title_short | The g 6 pressure of hot Yang-Mills theory: canonical form of the integrand |
| title_sort | g 6 pressure of hot yang mills theory canonical form of the integrand |
| topic | Effective Field Theories of QCD Finite Temperature or Finite Density Higher-Order Perturbative Calculations Thermal Field Theory |
| url | https://doi.org/10.1007/JHEP11(2024)037 |
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