相空间中Green函数的生成泛函和Feynman规则
The Generating Functional of Green Function in Phase Space and Feynman's Rule
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摘要: 从相空间中Green函数的生成泛函出发,对正则动量引入外源,利用最陡下降法,证明了在树图近似下,正规顶角的生成泛函等于正则作用量。勿需作出对正则动量的泛函积分,就可导出树图近似下的Feynman规则,给出了对φ4场论中的初步应用。Abstract: On Starting from the generating functional of Green function in phase space and introducing exterior sources for canonical momenta, it turns out that the generating functional of proper vertices is equal to canonical action in tree approximation. The Feyman's rule for the theory in this approximation can be deduced without carrying out explicit functional integration over canonical momenta.A preliminary application for φ4-field theory is introduced.