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.
UR - http://www.scopus.com/inward/record.url?scp=67349219385&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=67349219385&partnerID=8YFLogxK
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 -