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Field Redefinitions and Infinite Field Anomalous Dimensions

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arxiv 2402.08715 v1 pith:A4YTFUCP submitted 2024-02-13 hep-ph hep-th

Aneesh V. Manohar , Julie Pagès , Jasper Roosmale Nepveu This is my paper · ORCID
classification hep-phhep-th
keywords fieldinfiniteoperatorsredefinitionsanomalousdimensionsredundantargument
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

Field redefinitions are commonly used to reduce the number of operators in the Lagrangian by removing redundant operators and transforming to a minimal operator basis. We give a general argument that such field redefinitions, while leaving the $S$-matrix invariant and consequently finite, lead not only to infinite Green's functions, but also to infinite field anomalous dimensions $\gamma_\phi$. These divergences cannot be removed by counterterms without reintroducing redundant operators.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. One-loop matching of the LEFT to the QCD gradient flow

    hep-ph 2026-01 conditional novelty 7.0 of 10

    All one-loop matching coefficients connecting the full baryon- and lepton-number-conserving low-energy effective field theory up to dimension six to the QCD gradient flow are computed.

  2. On the Renormalization Group in EFTs: On-Shell Bases, Ambiguities, and Divergences

    hep-ph 2025-12 conditional novelty 7.0 of 10

    Two-loop RG divergences in on-shell EFT bases are spurious: they vanish when non-minimal source terms are included, leaving only unphysical flavor-rotation flow.

  3. Equivalence of effective actions

    hep-th 2025-04 conditional novelty 7.0 of 10

    Genuine field redefinitions and effective (mean field) redefinitions of a quantum field theory generate the same family of effective actions, related by implicit changes of variables that exist to all orders in pertur...

  4. Renormalization-group equations of the LEFT at two loops: dimension-five effects

    hep-ph 2024-12 conditional novelty 7.0 of 10

    The complete two-loop renormalization-group equations for the dimension-five LEFT sector, derived in a chirally symmetric scheme, with two methods that avoid gauge-variant nuisance operators.

  5. Renormalization-group equations of the LEFT at two loops: dimension-six baryon-number-violating operators

    hep-ph 2025-05 conditional novelty 6.0 of 10

    The two-loop anomalous dimensions for all dimension-six baryon-number-violating LEFT operators are derived in the 't Hooft-Veltman and naive dimensional regularization schemes.

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