Improved Lattice Renormalization Group Techniques

Petropoulos, Gregory, Cheng, Anqi, Hasenfratz, Anna and Schaich, David
(2013) Improved Lattice Renormalization Group Techniques. In: 31st International Symposium on Lattice Field Theory LATTICE 2013, 2013-7-29 - ?.

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We compute the bare step-scaling function $s_b$ for SU(3) lattice gauge theory with $N_f = 12$ massless fundamental fermions, using the non-perturbative Wilson-flow-optimized Monte Carlo Renormalization Group two-lattice matching technique. We use a short Wilson flow to approach the renormalized trajectory before beginning RG blocking steps. By optimizing the length of the Wilson flow, we are able to determine an $s_b$ corresponding to a unique discrete $\beta$ function, after a few blocking steps. We carry out this study using new ensembles of 12-flavor gauge configurations generated with exactly massless fermions, using volumes up to $32^4$. The results are consistent with the existence of an infrared fixed point (IRFP) for all investigated lattice volumes and number of blocking steps. We also compare different renormalization schemes, each of which indicates an IRFP at a slightly different value of the bare coupling, as expected for an IR-conformal theory.

Item Type: Conference or Workshop Item (Unspecified)
Additional Information: 31st International Symposium on Lattice Field Theory, Lattice2013
Uncontrolled Keywords: hep-lat, hep-lat
Depositing User: Symplectic Admin
Date Deposited: 13 Mar 2020 14:35
Last Modified: 18 Jan 2023 23:57
DOI: 10.22323/1.187.0079
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