Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-12-31
JHEP 0502 (2005) 039
Physics
High Energy Physics
High Energy Physics - Theory
59 pages, 6 figures. v2: reference added, minor additions
Scientific paper
10.1088/1126-6708/2005/02/039
We study SU(N) plane-wave matrix theory up to fourth perturbative order in its large N planar limit. The effective Hamiltonian in the closed su(2) subsector of the model is explicitly computed through a specially tailored computer program to perform large scale distributed symbolic algebra and generation of planar graphs. The number of graphs here was in the deep billions. The outcome of our computation establishes the four-loop integrability of the planar plane-wave matrix model. To elucidate the integrable structure we apply the recent technology of the perturbative asymptotic Bethe Ansatz to our model. The resulting S-matrix turns out to be structurally similar but nevertheless distinct to the so far considered long-range spin-chain S-matrices of Inozemtsev, Beisert-Dippel-Staudacher and Arutyunov-Frolov-Staudacher in the AdS/CFT context. In particular our result displays a breakdown of BMN scaling at the four-loop order. That is, while there exists an appropriate identification of the matrix theory mass parameter with the coupling constant of the N=4 superconformal Yang-Mills theory which yields an eigth order lattice derivative for well seperated impurities (naively implying BMN scaling) the detailed impurity contact interactions ruin this scaling property at the four-loop order. Moreover we study the issue of ``wrapping'' interactions, which show up for the first time at this loop-order through a Konishi descendant length four operator.
Fischbacher Thomas
Klose Thomas
Plefka Jan
No associations
LandOfFree
Planar plane-wave matrix theory at the four loop order: Integrability without BMN scaling does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Planar plane-wave matrix theory at the four loop order: Integrability without BMN scaling, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Planar plane-wave matrix theory at the four loop order: Integrability without BMN scaling will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-346896