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-...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-11-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2024)037 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 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. |
|---|---|
| ISSN: | 1029-8479 |