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High Energy Physics - Theory

arXiv:1004.3983 (hep-th)
[Submitted on 22 Apr 2010 (v1) , last revised 21 Nov 2010 (this version, v3)]

Title: Scattering amplitudes at strong coupling for 4K gluons

Title: 强耦合下4K胶子的散射振幅

Authors:Gang Yang
Abstract: In this paper we study the scattering amplitudes at strong coupling for the case where the number of gluons is a multiple of four. This is an important missing piece in arXiv:1002.2459. The tricky point for n=4K is that there is some accidental degeneracy in such case. We explain this point in detail and show that a non-trivial monodromy around infinity was developed by the world-sheet coordinate transformation appearing in the computation. It turns out that besides solving the Y system, we also need to calculate T functions to compute the full amplitudes. We show that the T functions can be derived by taking a limit of Y functions of a higher-point case. As a check, we obtain the known result of eight-point in AdS_3 case.
Abstract: 在本文中,我们研究当胶子数目是四的倍数时的散射振幅在强耦合下的情况。 这是arXiv:1002.2459中缺失的重要部分。 对于n=4K的情况,棘手之处在于这种情况下存在某种偶然的简并。 我们详细解释了这一点,并表明在计算中出现的世界面坐标变换导致了围绕无穷远点的非平凡单值性。 结果表明,除了求解Y系统外,我们还需要计算T函数以计算完整的振幅。 我们证明T函数可以通过取高点情况的Y函数的极限来得到。 作为验证,我们得到了AdS_3情况下八点的已知结果。
Comments: 23 pages, 3 figures. v3: A major revision of the paper, various points much clarified, appendix added; no change of the main results
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:1004.3983 [hep-th]
  (or arXiv:1004.3983v3 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1004.3983
arXiv-issued DOI via DataCite
Journal reference: JHEP 1012:082,2010
Related DOI: https://doi.org/10.1007/JHEP12%282010%29082
DOI(s) linking to related resources

Submission history

From: Gang Yang [view email]
[v1] Thu, 22 Apr 2010 18:56:27 UTC (127 KB)
[v2] Wed, 16 Jun 2010 19:34:21 UTC (130 KB)
[v3] Sun, 21 Nov 2010 18:59:24 UTC (129 KB)
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