I'm studying the Exact Renormalization Group in QFT.

I've found some pretty OK references already (see https://arxiv.org/abs/hep-th/0002034 and https://arxiv.org/abs/1003.1366), but I was wondering if there is any other ones people recommend.

I'm looking for resources that aren't too detailed in a way that obscures the core message of ERG. In a sense I'm aiming at introductory texts but with some depth to the mathematics and such.

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    $\begingroup$ More on exact renormalization group. $\endgroup$
    – Qmechanic
    Commented May 27, 2023 at 8:10
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    $\begingroup$ There are different flavors of eRG -- e.g., the Polchinski formalism vs the Wetterich, and it has been applied to a wide range of fields, from equilibrium and non-equilibrium classical statistical field theories to quantum systems including some quantum gravity models. Could you be more specific about which formalism(s) and areas you are interested in? $\endgroup$
    – bbrink
    Commented May 27, 2023 at 13:13
  • $\begingroup$ @bbrink the Polchinski formalism seems most interesting for my purposes, but I'd like to have a good general understanding as well. $\endgroup$ Commented May 27, 2023 at 17:06
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    $\begingroup$ I'm afraid I am much less familiar with the Polchinski formalism. Here are a few references I saved that may be helpful: arxiv.org/abs/hep-ph/9308265 (Polchinski applied to phi4), arxiv.org/abs/hep-th/9704094 (Polchinski vs Wetterich for O(N), arxiv.org/abs/cond-mat/0702365v1 (review of equilibrium methods, mostly focuses on Wetterich), arxiv.org/abs/2006.04853 (recent overview of many recent applications). $\endgroup$
    – bbrink
    Commented May 29, 2023 at 1:05


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