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arXiv 1706.07587hep-th
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$\mathcal{N}=4$超Yang-Mills中的类氢束缚态

On hydrogen-like bound states in $\mathcal{N}=4$ super Yang-Mills

Yusuke Sakata, Robin Schneider, Yuji Tachikawa, Takemasa Yamaura

备注：
9 pages, 3 figures
发表信息：
JHEP09(2017)015
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摘要：

利用相对论量子力学方法，研究了$\mathcal{N}=4$超Yang-Mills系统中质量相的非BPS两粒子束缚态的光谱.我们发现，对于每个主量子数$n$，该谱显示出精确的$n^2$简并度，就像在严格的非相对论极限下一样。这与Caron-Huot和Henn的发现一致，他们用可积性和对偶共形对称性的方法在大$N$极限下研究了同一系统。

英文摘要：

Using relativistic quantum mechanics, we study the spectrum of a non-BPS two-particle bound state in the massive phase of $\mathcal{N}=4$ super Yang-Mills, in the limit when one of the particles is infinitely heavier than the other. We find that the spectrum shows the exact $n^2$ degeneracy for each principal quantum number $n$, just as in the strict non-relativistic limit. This is in line with the findings of Caron-Huot and Henn, who studied the same system in the large $N$ limit with the technique of integrability and the dual conformal symmetry.

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