DOE OSTI · 2576021
Field redefinitions and infinite field anomalous dimensions
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 γ ϕ . These divergences cannot be removed by counterterms without reintroducing redundant operators.
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Manohar, Aneesh V., Pagès, Julie, Nepveu, Jasper Roosmale. 2024-05-02. Field redefinitions and infinite field anomalous dimensions. https://doi.org/10.1007/jhep05(2024)018
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