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Fifty years of Wilsonian renormalization and counting

Renormalization began as a tool to eliminate divergences in quantum electrodynamics, but it is now the basis of our understanding of physics at different energy scales. Here, I review its evolution with an eye towards physics beyond the Wilsonian paradigm.

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Fig. 1: Running of the coupling constants.
Fig. 2: Geometrical representation of the key claim of the gauge–gravity duality.

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Acknowledgements

This work was funded through NSF DMR-2111379. I thank R. Leigh and G. La Nave for always insightful conversations and J. Zhao for help with Fig. 1.

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Correspondence to Philip W. Phillips.

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Phillips, P.W. Fifty years of Wilsonian renormalization and counting. Nat. Phys. 19, 1521–1524 (2023). https://doi.org/10.1038/s41567-023-02208-y

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