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Exact Renormalization Group Equations. An Introductory Review

2 Pith papers cite this work. Polarity classification is still indexing.

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abstract

We critically review the use of the exact renormalization group equations (ERGE) in the framework of the scalar theory. We lay emphasis on the existence of different versions of the ERGE and on an approximation method to solve it: the derivative expansion. The leading order of this expansion appears as an excellent textbook example to underline the nonperturbative features of the Wilson renormalization group theory. We limit ourselves to the consideration of the scalar field (this is why it is an introductory review) but the reader will find (at the end of the review) a set of references to existing studies on more complex systems.

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2026 2

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$CP$ phase structure of QCD from functional renormalization group

hep-ph · 2026-05-27 · unverdicted · novelty 4.0

FRG study of QCD-like theories finds the CP-violating four-fermion operator becomes relevant in the chirally broken phase when the gauge coupling runs, while finite quark mass strongly suppresses infrared running of the theta parameter.

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  • Rethinking quantum information in gravity and fields hep-th · 2026-06-29 · unverdicted · none · ref 98 · internal anchor

    The paper organizes important open questions in quantum gravity and quantum information into four themes without presenting new results or derivations.