MCRG study of 8 and 12 fundamental flavors

Petropoulos, G, Cheng, A, Hasenfratz, A and Schaich, D ORCID: 0000-0002-9826-2951 (2012) MCRG study of 8 and 12 fundamental flavors In: Proceedings of The 30th International Symposium on Lattice Field Theory — PoS(Lattice 2012), 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 Item (Unspecified)
Additional Information:	PoS (Lattice 2012) 051 keywords: read, MCRG, SU3 fund Nf8, SU3 fund Nf12, gradient flow
Uncontrolled Keywords:	5107 Particle and High Energy Physics, 49 Mathematical Sciences, 51 Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	13 Mar 2020 13:31
Last Modified:	23 May 2026 02:01
DOI:	10.22323/1.164.0051
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3078922
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