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Renormalization Group Flow of SU(3) Gauge Theory

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arxiv hep-lat/9806008 v4 pith:7WCKP4DI submitted 1998-06-08 hep-lat

classification hep-lat
keywords betatimesflowgaugegrouplatticerenormalizationstudied
verification ladder T0 review T1 audit T2 compute T3 formal

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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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  1. Lattice gradient flows (de-)stabilizing topological sectors

    hep-lat 2024-11 conditional novelty 5.0 of 10

    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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