MCRG study of 8 and 12 fundamental flavors - INSPIRE

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MCRG study of 8 and 12 fundamental flavors

Dec, 2012

7 pages

Part of Proceedings, 30th International Symposium on Lattice Field Theory (Lattice 2012) : Cairns, Australia, June 24-29, 2012

Published in:

PoS LATTICE2012 (2012) 051

Contribution to:

- Lattice 2012

e-Print:

1212.0053 [hep-lat]

DOI:

10.22323/1.164.0051

View in:

ADS Abstract Service

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Abstract: (arXiv)

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.

Note:

Contribution to the proceedings of Lattice 2012, June 24-29, Cairns, Australia. 7 pages

flow: Wilson
renormalization group: Monte Carlo
renormalization group: fixed point: infrared
gauge field theory: SU(3)
beta function
technicolor: conformal
quark: staggered
quark
flavor
numerical calculations: Monte Carlo

References(17)

Figures(6)

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