Supersymmetry in Random Matrix Theory

Supersymmetry in Random Matrix Theory
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随机矩阵理论中的超对称性

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发表时间:
2010
期刊:
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通讯作者:
T. Guhr
T. Guhr
中科院分区:
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文献类型:
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作者:
T. Guhr

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超对称性是当今随机矩阵理论中许多问题所不可缺少的。它在这里介绍,重点是概念和结构问题。给出了超数学的介绍。解释了Hubbard-Stratonovich变换及其推广和超玻色化。讨论了超对称非线性西格玛模型、超空间中的布朗运动和色味变换。
Supersymmetry is nowadays indispensable for many problems in Random Matrix Theory. It is presented here with an emphasis on conceptual and structural issues. An introduction to supermathematics is given. The Hubbard-Stratonovich transformation as well as its generalization and superbosonization are explained. The supersymmetric non-linear sigma model, Brownian motion in superspace and the color-flavor transformation are discussed.