高斯自由场 - 维基百科，自由的百科全书

在量子场论中，高斯自由场（Gaussian Free Field）是最简单的场论之一。这个也称为无质量玻色子场论。

高斯自由场的泛函积分是

${\displaystyle Z=\int D\phi \exp(-\int _{R^{d}}d^{d}x\ {\frac {1}{2}}\phi ^{2})}$

${\displaystyle \phi }$是高斯自由场。${\displaystyle \phi (x)=f(x)}$的概率是

${\displaystyle P(\phi =f)={\frac {1}{Z}}\exp(-\int {\frac {1}{2}}f^{2})}$

• 高斯场论是一个共形场论
• 高斯场论描述一个无质量的玻色子
• ${\displaystyle m=0}$的Klein-Gordon场论
• ${\displaystyle d=1}$的高斯场论描述维纳过程

• 随机矩阵
• 随机漫步（格子）
• 双体模型
• Schramm–Loewner演进

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