A two-loop test of M(atrix) theory
A two-loop test of M(atrix) theory
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DOI：
10.1016/s0550-3213(97)00518-x
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发表时间：
1997-05
期刊：
影响因子：
--
通讯作者：
K. Becker;M. Becker
中科院分区：
文献类型：
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作者：
K. Becker;M. Becker
在M（矩阵）理论中考虑两个Dirichlet零膜的散射。利用10维超杨-米尔斯理论降维到（0+1）维的M（atrix）理论公式，我们得到了描述这些粒子的有效（速度相关）势.在一个循环中，我们得到了关于有效势Veff的首阶的众所周知的结果，其中v和r分别是两个零膜之间的相对速度和距离。在两个循环的有效势的计算表明，没有重整化的有效势的v4项发生在这个顺序。
We consider the scattering of two Dirichlet zero-branes in M(atrix) theory. Using the formulation of M(atrix) theory in terms of ten-dimensional super Yang-Mills theory dimensionally reduced to (0+1) dimensions, we obtain the effective (velocity-dependent) potential describing these particles. At one loop we obtain the well-known result for the leading order of the effective potential Veff∼ v4/r7, where v and r are the relative velocity and distance between the two zero-branes, respectively. A calculation of the effective potential at two loops shows that no renormalizations of the v4term of the effective potential occur at this order.