α′-expansion of Anti-Symmetric Wilson Loops in N=4 SYM from Fermi Gas
α′-expansion of Anti-Symmetric Wilson Loops in N=4 SYM from Fermi Gas
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费米气体 N=4 SYM 中反对称威尔逊环的 α′ 展开
DOI：
10.1093/ptep/ptw156
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发表时间：
2016
影响因子：
3.5
通讯作者：
Kazumi Okuyama
中科院分区：
文献类型：
--
作者：
Masaatsu Horikoshi;Kazumi Okuyama
在超级Yang-Mills （SYM）理论中，我们研究了1/ 2bps Wilson环的大t Hooft耦合展开。通过AdS/CFT对应，这种膨胀对应于体型IIB弦理论中的膨胀。我们证明这种展开可以通过使用费米分布函数的低温展开系统地计算，在统计力学中称为索默菲尔德展开。我们在数值上验证了我们的展开与Fiol和Torrents最近发现的反对称Wilson循环的确切结果是一致的。
We study the large 't Hooft coupling expansion of 1/2 BPS Wilson loops in the antisymmetric representation insuper Yang–Mills (SYM) theory at the leading order in theexpansion. Via AdS/CFT correspondence, this expansion corresponds to theexpansion in bulk type IIB string theory. We show that this expansion can be systematically computed by using the low temperature expansion of the Fermi distribution function, known as the Sommerfeld expansion in statistical mechanics. We check numerically that our expansion agrees with the exact result of antisymmetric Wilson loops recently found by Fiol and Torrents.