Improved lattice renormalization group techniques

Petropoulos, G, Cheng, A, Hasenfratz, A and Schaich, D (2013) Improved lattice renormalization group techniques In: 31st International Symposium on Lattice Field Theory LATTICE 2013, 2013-7-29 - ?.

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Abstract

We compute the bare step-scaling function sb for SU(3) lattice gauge theory with Nf = 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 sb corresponding to a unique discrete b 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 324. 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 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:	24 Jan 2026 01:58
DOI:	10.22323/1.187.0079
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3078898
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