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.
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 $\beta_{1\times 2} / \beta_{1\times 1}$.
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Lattice gradient flows (de-)stabilizing topological sectors
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.