BMN gauge theory as a quantum mechanical system

TY - JOUR

T1 - BMN gauge theory as a quantum mechanical system

AU - Beisert, N.

AU - Kristjansen, C.

AU - Plefka, J.

AU - Staudacher, M.

PY - 2003/4/17

Y1 - 2003/4/17

N2 - 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.

AB - 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.

U2 - 10.1016/S0370-2693(03)00269-7

DO - 10.1016/S0370-2693(03)00269-7

M3 - Journal article

AN - SCOPUS:0037451874

SN - 0370-2693

VL - 558

SP - 229

EP - 237

JO - Physics Letters B: Particle Physics, Nuclear Physics and Cosmology

JF - Physics Letters B: Particle Physics, Nuclear Physics and Cosmology

IS - 3-4

ER -