New A and V gradient flow schemes enable nonperturbative renormalization of composite fermion operators via conserved currents and ratios of correlation functions, demonstrated on domain-wall ensembles for Z_V/Z_A and strange quark mass.
Nonperturbative Renormalization of Operators in Near-Conformal Systems Using Gradient Flows
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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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Gradient Flow Renormalization Schemes for Composite Fermion Operators
New A and V gradient flow schemes enable nonperturbative renormalization of composite fermion operators via conserved currents and ratios of correlation functions, demonstrated on domain-wall ensembles for Z_V/Z_A and strange quark mass.