Permutations and the Loop
| dc.creator | Brown, T. W. | |
| dc.date | 2008-01-14 | |
| dc.date | 2008-05-07 | |
| dc.date.accessioned | 2026-07-07T12:29:57Z | |
| dc.date.available | 2026-07-07T12:29:57Z | |
| dc.description | We consider the one-loop two-point function for multi-trace operators in the U(2) sector of \cN=4 supersymmetric Yang-Mills at finite N. We derive an expression for it in terms of U(N) and S_{n+1} group theory data, where n is the length of the operators. The Clebsch-Gordan operators constructed in 0711.0176, which are diagonal at tree level, only mix at one loop if you can reach the same (n+1)-box Young diagram by adding a single box to each of the n-box Young diagrams of their U(N) representations (which organise their multi-trace structure). Similar results are expected for higher loops and for other sectors of the global symmetry group. | |
| dc.description | 13+7 pages, 9 figures; references added, minor clarification | |
| dc.identifier | https://arxiv.org/abs/0801.2094 | |
| dc.identifier | http://arxiv.org/abs/0801.2094 | |
| dc.identifier | JHEP 0806:008,2008 | |
| dc.identifier | doi:10.1088/1126-6708/2008/06/008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216006 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Permutations and the Loop | |
| dc.type | text |