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I am familiar with Green's function and perturbation theory for many-body systems. I have learned this theory from Henrik Bruus's book Many-Body Quantum Theory in Condensed Matter Physics. This book works with operator formalism instead of path-integral formalism.

I am looking for books/articles to learn Green's function perturbation theory based on path-integral formalism. My focus is on condensed matter physics problems, for example, calculating response functions.

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    $\begingroup$ Atland and Simons is a good place to learn about path integral formalism in condensed matter theory. $\endgroup$
    – Meng Cheng
    Commented Jul 7, 2022 at 21:27
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    $\begingroup$ Also notice there is an extensive list of resource recommendations at physics.stackexchange.com/q/12175 $\endgroup$
    – Woe
    Commented Jul 7, 2022 at 21:40

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As already mentioned by @Meng Cheng in the comments,

I list a few more resources below for some variety,

Finally, another text you may find useful as an additional reference is,

It is a comprehensive open source text on path integrals and perhaps one of the only books that explicitly solves them for various non-trivial quantum systems, such as the hydrogen atom.

Hope you find what you're looking for :)

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Quantum Many-particle Systems by Negele and Orland is somewhat dated but a classic - for those who prefer solid older books with down-to-earth explanations.

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