Quantum Landau-Lifshitz model at four loops: 1/J and 1/J^2 corrections to BMN energies
| dc.creator | Tirziu, A. | |
| dc.date | 2006-01-19 | |
| dc.date | 2006-01-30 | |
| dc.date.accessioned | 2026-07-07T10:45:45Z | |
| dc.date.available | 2026-07-07T10:45:45Z | |
| dc.description | In a previous paper (hep-th/0510080) the effective Landau-Lifshitz (LL) Lagrangians in the SU(2) sector coming from string theory and gauge theory have been found to three loops in the effective expansion parameter $\tildeλ=λ/J^2$. In this paper we continue this study and find the effective Landau-Lifshitz Lagrangians to four loops. We extend to four-loops $\tildeλ^4$ the computations of 1/J and $1/J^2$ corrections to BMN energies done in hep-th/0510080 to three-loops. We compare these corrections obtained from quantum ``gauge-theory'' LL action with the corrections obtained from the conjectured Bethe ansatz for the long range spin chain representing perturbative {large $N$} $\NN=4$ Super Yang-Mills in the SU(2) sector and find perfect matching to four loops $\tildeλ^4$. We compare also the 1/J and $1/J^2$ corrections obtained from quantum ``string-theory'' LL action with those obtained from the "quantum string" Bethe ansatz and again find perfect matching to four-loops. | |
| dc.description | 22 pages, references added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0601139 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0601139 | |
| dc.identifier | Phys.Rev.D73:106001,2006 | |
| dc.identifier | doi:10.1103/PhysRevD.73.106001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/183009 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Quantum Landau-Lifshitz model at four loops: 1/J and 1/J^2 corrections to BMN energies | |
| dc.type | text |