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Exact Renormalization Group Equations. An Introductory Review

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arxiv hep-th/0002034 v2 pith:SJZPPKFV submitted 2000-02-04 hep-th cond-mat.stat-mech

C. Bagnuls , C. Bervillier This is my paper · ORCID
classification hep-thcond-mat.stat-mech
keywords reviewgrouprenormalizationequationsergeexactexpansionintroductory
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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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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 453 citations worldwide. Full citation record

  1. Asymptotic behaviour of the derivative expansion in the ERG

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    The derivative expansion of the exact renormalization group is divergent for generic operators in any dimension, but behaves as an asymptotic series that converges to high order in common applications.

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    The ERG flow of the USp(2N) singlet sector of a free 3D U(2N) scalar theory yields a bulk AdS4 cubic action that is on-shell equivalent to Yang-Mills plus a field-strength-cubed term.

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    cond-mat.dis-nn 2024-11 conditional novelty 6.0 of 10

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

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