Wilson loops in N=4 super Yang-Mills theory: Rotation in S 5
Wilson loops in N=4 super Yang-Mills theory: Rotation in S 5
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N=4 超杨-米尔斯理论中的威尔逊循环：S 5 中的旋转
DOI：
10.1103/physrevd.66.125010
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发表时间：
2002
影响因子：
5
通讯作者：
K. Zarembo
中科院分区：
文献类型：
--
作者：
A. Tseytlin;A. Tseytlin;K. Zarembo
本文研究了$\ mathal {N}=4$超级Yang-Mills （SYM）理论中标量$({\ mathal {S}}^{5})$方向上的非常数Wilson环及其在AdS共形场论对应下的开弦解。闵可夫斯基图和欧几里得图之间的相互作用对于依赖时间的威尔逊循环来说是非平凡的。我们发现在${\ mathm {S}}^{5}$-旋转情况下，minkowski Wilson循环似乎没有直接的开弦对偶，它们的期望值应该由欧几里得空间结果的解析延拓得到。在欧几里得情况下，我们确定了“夸克-反夸克”势对旋转参数$\ensuremath{\nu}的依赖关系，在弱耦合（即在1环微动SYM理论中）和强耦合（即在经典弦理论中${\ mathm {AdS}}_{5}\ifmmode\times\else\texttimes\fi{}{\ mathm {S}}^{5}）
We study Wilson loops in $\mathcal{N}=4$ super Yang-Mills (SYM) theory which are nonconstant in the scalar $({\mathrm{S}}^{5})$ directions and open string solutions associated with them in the context of AdS conformal field theory correspondence. An interplay between Minkowskian and Euclidean pictures turns out to be nontrivial for time-dependent Wilson loops. We find that in the ${\mathrm{S}}^{5}$-rotating case there appears to be no direct open-string duals for the Minkowskian Wilson loops, and their expectation values should be obtained by analytic continuation from the Euclidean-space results. In the Euclidean case, we determine the dependence of the ``quark-antiquark'' potential on the rotation parameter $\ensuremath{\nu},$ both at weak coupling (i.e., in the 1-loop perturbative SYM theory) and at strong coupling (i.e., in the classical string theory in ${\mathrm{AdS}}_{5}\ifmmode\times\else\texttimes\fi{}{\mathrm{S}}^{5}).$