BMN gauge theory as a quantum mechanical system

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

Standard

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 tidsskriftTidsskriftartikelfagfællebedømt

Harvard

Beisert, N, Kristjansen, C, Plefka, J & Staudacher, M 2003, 'BMN gauge theory as a quantum mechanical system', Physics Letters B, bind 558, nr. 3-4, s. 229-237. https://doi.org/10.1016/S0370-2693(03)00269-7

APA

Beisert, N., Kristjansen, C., Plefka, J., & Staudacher, M. (2003). BMN gauge theory as a quantum mechanical system. Physics Letters B, 558(3-4), 229-237. https://doi.org/10.1016/S0370-2693(03)00269-7

Vancouver

Beisert N, Kristjansen C, Plefka J, Staudacher M. BMN gauge theory as a quantum mechanical system. Physics Letters B. 2003 apr. 17;558(3-4):229-237. https://doi.org/10.1016/S0370-2693(03)00269-7

Author

Beisert, N. ; Kristjansen, C. ; Plefka, J. ; Staudacher, M. / BMN gauge theory as a quantum mechanical system. I: Physics Letters B. 2003 ; Bind 558, Nr. 3-4. s. 229-237.

Bibtex

@article{a07a17cca9d14c07a4904deed3d6fd4a,
title = "BMN gauge theory as a quantum mechanical system",
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.",
author = "N. Beisert and C. Kristjansen and J. Plefka and M. Staudacher",
year = "2003",
month = apr,
day = "17",
doi = "10.1016/S0370-2693(03)00269-7",
language = "English",
volume = "558",
pages = "229--237",
journal = "Physics Letters B: Particle Physics, Nuclear Physics and Cosmology",
issn = "0370-2693",
publisher = "Elsevier",
number = "3-4",

}

RIS

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