MCRG study of 8 and 12 fundamental flavors
arXiv:1212.0053
Abstract
We study the renormalization group properties of SU(3) gauge theories with N_f=8 and 12 nearly-massless fermions, using Monte Carlo Renormalization Group (MCRG) two-lattice matching techniques to predict bare step-scaling functions s_b. Traditional MCRG two-lattice matching requires that the renormalization scheme be optimized for each bare lattice coupling, so that s_b is a composite of many different discrete beta 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, s_b for N_f=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 s_b obtained by combining the Wilson flow with MCRG two-lattice matching have the distinct advantage of corresponding to unique discrete beta functions.
arXiv commentContribution to the proceedings of Lattice 2012, June 24-29, Cairns, Australia. 7 pages
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Cited by in corpus (5)
- Nonperturbative beta function of twelve-flavor SU(3) gauge theory
- Nonperturbative beta function of eight-flavor SU(3) gauge theory
- Bulk and finite-temperature transitions in SU(3) gauge theories with many light fermions
- Lattice Gauge Theories at the Energy Frontier
- Reaching the chiral limit in many flavor systems