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Derivative expansion of the renormalization group in O(N) scalar field theory

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arxiv hep-th/9704202 v1 pith:BNM6GGCE submitted 1997-04-29 hep-th cond-mathep-lathep-ph

Tim R. Morris , Michael D. Turner This is my paper · ORCID
classification hep-thcond-mathep-lathep-ph
keywords expansionderivativefieldscalartheoryvaluesactionaddition
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We apply a derivative expansion to the Legendre effective action flow equations of O(N) symmetric scalar field theory, making no other approximation. We calculate the critical exponents eta, nu, and omega at the both the leading and second order of the expansion, associated to the three dimensional Wilson-Fisher fixed points, at various values of N. In addition, we show how the derivative expansion reproduces exactly known results, at special values N=infinity,-2,-4, ... .

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Cited by 2 Pith papers

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  1. Asymptotic behaviour of the derivative expansion in the ERG

    hep-th 2026-07 conditional novelty 7.0 of 10

    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.

  2. Fermions and the Renormalisation Group at Large N

    hep-th 2025-02 conditional novelty 7.0 of 10

    At large N, fermionic quantum field theories have exact effective actions depending only on flavour-singlet fermion bilinears, making the local potential approximation exact and yielding new conformal fixed points.

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