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# 36th Annual International Symposium on Lattice Field Theory

22-28 July 2018
Kellogg Hotel and Conference Center
EST timezone

## Non-perturbative renormalization of operators in near-conformal systems using gradient flow

Jul 27, 2018, 4:50 PM
20m
104 (Kellogg Hotel and Conference Center)

### 104

#### Kellogg Hotel and Conference Center

219 S Harrison Rd, East Lansing, MI 48824
Theoretical Developments

### Speaker

Prof. Anna Hasenfratz (university of colorado boulder)

### Description

We discuss 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. Applying the technique in a pilot study of SU$(3)$ gauge theory with $N_f = 12$ fermions in the fundamental representation, we find 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 $\gamma_N = 0.05(5)$.

### Primary author

Prof. Anna Hasenfratz (university of colorado boulder)

### Co-authors

Andrea Carosso (University of Colorado, Boulder) Prof. Ethan Neil (University of Colorado, Boulder)

 Slides