# Feynman diagrams in Gaussian integrals

I am looking for suggestions for material regarding Feynman diagrams for gaussian integrals. I am looking for something of the sort of: Pedro Vieira, Statistical Physics Applied to Quantum Field Theory, Lecture 3. I thought I understood the lecture. But then I found myself incredibly lost when I saw this lecture on Matrix Models Pedro Vieira, Statistical Physics Applied to Quantum Field Theory, Lecture 4. I guess I am looking for material with loads of examples!

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• Why do you need Feynman diagrams if the integral is Gaussian? – octonion Mar 30 at 16:41
• @octonion: OP probably means $n$-point integrals like $\int d^n x \, x_{i_1} \dots x_{i_n} e^{- |x|^2/2}$. – Hans Moleman Apr 7 at 22:23
• @HansMoleman, Yes so in your integral the Feynman diagram would just be $n/2$ unconnected lines. What's the point of using a diagram? – octonion Apr 8 at 0:27

What you're looking for is in

• Chapter 1 of "Path Integrals in Quantum Mechanics" by Zinn-Justin.

Other standard texts on the topic are:

• "The Path Integral approach to Quantum Mechanics" by Ricardo Ratazzi,

• "Path Integrals in Physics: Volume I Stochastic Processes and Quantum Mechanics" by Demichev and Chaichian,

• "Field theory: a path integral approach" by Ahok Das.

A nice brief intro can be found in Chapter 14 of Schwartz.

For matrix models, just google: one, two, etc.