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arXiv · 2402.08715

Field Redefinitions and Infinite Field Anomalous Dimensions

Aneesh V. Manohar·Julie Pagès·Jasper Roosmale Nepveu
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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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Aneesh V. Manohar, Julie Pagès, Jasper Roosmale Nepveu. 2024-02-13. Field Redefinitions and Infinite Field Anomalous Dimensions. https://arxiv.org/abs/2402.08715

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