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


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