On the commuting charges for the highest dimension SU(2) operators in planar ${\cal N}=4$ SYM
| dc.creator | Fioravanti, Davide | |
| dc.creator | Rossi, Marco | |
| dc.date | 2007-06-26 | |
| dc.date | 2007-07-13 | |
| dc.date.accessioned | 2026-07-07T10:56:28Z | |
| dc.date.available | 2026-07-07T10:56:28Z | |
| dc.description | We consider the highest anomalous dimension operator in the SU(2) sector of planar ${\cal N}=4$ SYM at all-loop, though neglecting wrapping contributions. In any case, the latter enter the loop expansion only after a precise length-depending order. In the thermodynamic limit we write both a linear integral equation for the Bethe root density and a linear system obeyed by the commuting charges. Consequently, we determine the leading strong coupling contribution to the density and from this an approximation to the leading and sub-leading terms of any charge $Q_r$: it scales as $λ^{1/4-r/2}$, which generalises the Gubser-Klebanov-Polyakov energy law. In the end, we briefly extend these considerations to finite lengths and 'excited' operators by using the idea of a non-linear integral equation. | |
| dc.description | Latex file, 20 pages, some typos corrected, some technical details expanded and explained | |
| dc.identifier | https://arxiv.org/abs/0706.3936 | |
| dc.identifier | http://arxiv.org/abs/0706.3936 | |
| dc.identifier | JHEP0708:089,2007 | |
| dc.identifier | doi:10.1088/1126-6708/2007/08/089 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/186422 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On the commuting charges for the highest dimension SU(2) operators in planar ${\cal N}=4$ SYM | |
| dc.type | text |