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arXiv · 1806.01385

Nonperturbative Renormalization of Operators in Near-Conformal Systems Using Gradient Flows

Andrea Carosso·Anna Hasenfratz·Ethan T. Neil
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Abstract

We propose a continuous real space renormalization group transformation based on gradient flow, allowing for a numerical study of renormalization without the need for costly ensemble matching. We apply our technique in a pilot study of SU$(3)$ gauge theory with $N_f = 12$ fermions in the fundamental representation, finding the mass anomalous dimension to be $\gamma_m = 0.23(6)$, consistent with other perturbative and lattice estimates. We also present the first lattice calculation of the nucleon anomalous dimension in this theory, finding $\gamma_N = 0.05(5)$.

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Andrea Carosso, Anna Hasenfratz, Ethan T. Neil. 2018-06-04. Nonperturbative Renormalization of Operators in Near-Conformal Systems Using Gradient Flows. https://doi.org/10.1103/physrevlett.121.201601

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