BMN gauge theory as a quantum mechanical system
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BMN gauge theory as a quantum mechanical system. / Beisert, N.; Kristjansen, C.; Plefka, J.; Staudacher, M.
I: Physics Letters B, Bind 558, Nr. 3-4, 17.04.2003, s. 229-237.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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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
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
SN - 0370-2693
IS - 3-4
ER -
ID: 186918158