TY - JOUR

T1 - Discretized minimal surface and the BDS conjecture in N = 4 super-Yang-Mills theory at strong coupling

AU - Dobashi, Suguru

AU - Ito, Katsushi

N1 - Funding Information:
The authors would like to thank Koh Iwasaki for collaboration in early stage of this work. The work of K.I. is supported in part by the Grant-in-Aid for Scientific Research from Ministry of Education, Science, Culture and Sports of Japan.

PY - 2009/9/29

Y1 - 2009/9/29

N2 - We construct numerically the minimal surface in AdS spacetime surrounded by the light-like segments, which are dual to the 4, 6 and 8-point gluon scattering amplitudes in N = 4 super-Yang-Mills theory. We evaluate the area of the minimal surface in the radial cut-off regularization and compare these areas with the formula conjectured by Bern, Dixon and Smirnov (BDS), which is modified by the remainder function of cross-ratios of external momenta for n (≥ 6)-point amplitudes. In our momentum configuration cross-ratios are constant. We calculate the difference of areas with different conformal boost parameters, which is independent of the remainder function, and find that its dependence on the boost parameter is numerically consistent with the BDS formula.

AB - We construct numerically the minimal surface in AdS spacetime surrounded by the light-like segments, which are dual to the 4, 6 and 8-point gluon scattering amplitudes in N = 4 super-Yang-Mills theory. We evaluate the area of the minimal surface in the radial cut-off regularization and compare these areas with the formula conjectured by Bern, Dixon and Smirnov (BDS), which is modified by the remainder function of cross-ratios of external momenta for n (≥ 6)-point amplitudes. In our momentum configuration cross-ratios are constant. We calculate the difference of areas with different conformal boost parameters, which is independent of the remainder function, and find that its dependence on the boost parameter is numerically consistent with the BDS formula.

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U2 - 10.1016/j.nuclphysb.2009.04.005

DO - 10.1016/j.nuclphysb.2009.04.005

M3 - Article

AN - SCOPUS:67349219385

VL - 819

SP - 18

EP - 34

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -