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Renormalization Group Flow of SU(3) Gauge Theory

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abstract

We calculate numerically the renormalization group (RG) flow of lattice QCD in two-coupling space, $(\beta_{1\times 1},\beta_{1\times 2})$. This is the first explicit calculation of the RG flow of SU(3) gauge theory. From the RG flow,a renormalized trajectory (RT) is revealed. Its behavior is consistent with the strong coupling expansion near the high-temperature fixed point. Actions with $(\beta_{1\times 1},\beta_{1\times 2})$ are studied; the lattice spacing is evaluated by measuring the string tension from the heavy quark potential. Recovery of the rotational symmetry is studied as a function of the ratio $\beta_{1\times 2} / \beta_{1\times 1}$.

fields

hep-lat 1

years

2024 1

verdicts

CONDITIONAL 1

representative citing papers

Lattice gradient flows (de-)stabilizing topological sectors

hep-lat · 2024-11-22 · conditional · novelty 5.0

Iwasaki and DBW2 gradient flows keep the topological charge of SU(2) gauge configurations stable at long flow times, unlike Wilson and Symanzik flows; DBW2 quantizes the charge already near t=0.5.

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  • Lattice gradient flows (de-)stabilizing topological sectors hep-lat · 2024-11-22 · conditional · none · ref 31 · internal anchor

    Iwasaki and DBW2 gradient flows keep the topological charge of SU(2) gauge configurations stable at long flow times, unlike Wilson and Symanzik flows; DBW2 quantizes the charge already near t=0.5.