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BMN gauge theory as a quantum mechanical system

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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.

OriginalsprogEngelsk
TidsskriftPhysics Letters B
Vol/bind558
Udgave nummer3-4
Sider (fra-til)229-237
Antal sider9
ISSN0370-2693
DOI
StatusUdgivet - 17 apr. 2003

ID: 186918158