BMN Gauge Theory as a Quantum Mechanical System
High Energy Physics - Theory
2011-03-23 v3
Abstract
We rigorously derive an effective quantum mechanical Hamiltonian from N=4 gauge theory in the BMN limit. Its eigenvalues yield the exact one-loop anomalous dimensions of scalar two-impurity BMN operators for all genera. It is demonstrated that this reformulation vastly simplifies computations. E.g. the known anomalous dimension formula for genus one is reproduced through a one-line calculation. We also efficiently evaluate the genus two correction, finding a non-vanishing result. We comment on multi-trace two-impurity operators and we conjecture that our quantum-mechanical reformulation could be extended to higher quantum loops and more impurities.
Cite
@article{arxiv.hep-th/0212269,
title = {BMN Gauge Theory as a Quantum Mechanical System},
author = {N. Beisert and C. Kristjansen and J. Plefka and M. Staudacher},
journal= {arXiv preprint arXiv:hep-th/0212269},
year = {2011}
}
Comments
13 pages, v2: minor changes, v3: typo corrected, to appear in Phys. Lett. B