The parameter dependence of the topology change and the scaling

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The parameter dependence of the topology change and the scaling
properties of the topology conserving gauge action
Presenter: Onogi Tetsuya
Hidenori Fukaya, Shoji Hashimoto, Takuya Hirohashi,Kenji Ogawa, and Tetsuya Onogi
Abstract: The ”topology conserving” gauge action proposed by Lùˆscher is expected to reduce the number of non-smooth gauge configurations as well as the
topology change compared to the conventional actions for the same lattice spacings. We report our quenched QCD study of the dependence of the topology
change rate as well as the scales r0 (Sommer scale) and rc on the parameters
beta = 6/g 2 and , where is the smoothness parameter. We find that the topology change is indeed significantly suppressed for = 3/2 and 1, a−1 = 2 − 2.5
GeV with the lattice size L = 1 − 1.6 fm. We also find that the scaling violation
in rc /r0 remains reasonably small in the parameter range of our study.
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