Convergence of the Gaussian Expansion Method in Dimensionally Reduced Yang-Mills Integrals
Convergence of the Gaussian Expansion Method in Dimensionally Reduced Yang-Mills Integrals
复制标题
降维Yang-Mills积分中高斯展开法的收敛性
DOI：
10.1088/1126-6708/2002/10/043
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
Fumihiko Sugino
中科院分区：
文献类型：
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作者：
J. Nishimura;Toshiyuki Okubo;Fumihiko Sugino
本文提出了一种系统地改进在凝聚态物理和统计力学中广泛应用的自洽谐波近似（或高斯近似）的方法。我们证明了{\em收敛}的方法在一个模型中得到的SU（$N$）杨米尔斯理论在$D$维降维。显式计算已经进行了7阶的大N限制，我们观察到一个明确的收敛到蒙特卡洛结果。对于$D \gtrsim 10$的收敛已经实现在第三阶，这表明该方法是特别有用的研究IIB矩阵模型，一个简化的非微扰定义的IIB型超弦理论。
We advocate a method to improve systematically the self-consistent harmonic approximation (or the Gaussian approximation), which has been employed extensively in condensed matter physics and statistical mechanics. We demonstrate the {\em convergence} of the method in a model obtained from dimensional reduction of SU($N$) Yang-Mills theory in $D$ dimensions. Explicit calculations have been carried out up to the 7th order in the large-N limit, and we do observe a clear convergence to Monte Carlo results. For $D \gtrsim 10$ the convergence is already achieved at the 3rd order, which suggests that the method is particularly useful for studying the IIB matrix model, a conjectured nonperturbative definition of type IIB superstring theory.
淬火IIB矩阵模型
DOI：
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发表时间：
2007
期刊：
影响因子：
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作者：
畔柳竜生;古田黄;花田政範;川合光;木村祐介
通讯作者：
木村祐介