Petropoulos, Gregory, Cheng, Anqi, Hasenfratz, Anna and Schaich, David ORCID: 0000-0002-9826-2951
(2012)
MCRG study of 8 and 12 fundamental flavors with mixed fundamental-adjoint gauge action in strong coupling.
In: The 30th International Symposium on Lattice Field Theory, 2012-6-24 - ?, Cairns, Australia.
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Abstract
We study the renormalization group properties of SU(3) gauge theories with Nf =8 and 12 nearlymassless fermions, using Monte Carlo Renormalization Group (MCRG) two-lattice matching techniques to predict bare step-scaling functions sb. Traditional MCRG two-lattice matching requires that the renormalization scheme be optimized for each bare lattice coupling, so that sb is a composite of many different discrete b functions. We propose an improved procedure that uses the Wilson flow to eliminate the need for this optimization of the RG blocking transformation. While our 12-flavor results indicate an infrared fixed point, sb for Nf = 8 is significantly different from zero until strong-coupling lattice artifacts obstruct two-lattice matching. Although both procedures produce qualitatively similar bare step-scaling functions, the new sb obtained by combining the Wilson flow with MCRG two-lattice matching have the distinct advantage of corresponding to unique discrete b functions.
Item Type: | Conference or Workshop Item (Unspecified) |
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Additional Information: | PoS (Lattice 2012) 051 keywords: read, MCRG, SU3 fund Nf8, SU3 fund Nf12, gradient flow |
Depositing User: | Symplectic Admin |
Date Deposited: | 13 Mar 2020 13:31 |
Last Modified: | 18 Jan 2023 23:57 |
DOI: | 10.22323/1.164.0051 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3078922 |