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The Yang-Mills gradient flow and lattice effective action · Around

2015

The Yang-Mills gradient flow and lattice effective action

Yamamura, Ryo

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Recently, the Yang-Mills gradient flow is found to be a useful concept not only in lattice simulations but also in continuous field theories.

Since its smearing property is similar to the Wilsoninan "block spin transformation", there might be deeper connection between them.
In this work, we define the "effective action" which generates configurations at a finite flow time and derive the exact differential equation to investigate the flow time dependence of the action.
Then Yang-Mills gradient flow can be regarded as the flow of the effective action.

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F. J. Wegner, J. Phys. C7
1974
Earlier work this paper cites.
M. Creutz, Phys.Rev.Lett. 50
1983
Earlier work this paper cites.
P. Weisz, Nucl. Phys. B212
1983
Earlier work this paper cites.
P. Weisz and R. Wohlert, Nucl. Phys. B236
1984
Earlier work this paper cites.
M. Luscher and P. Weisz, Commun. Math. Phys. 97
1985
Earlier work this paper cites.
Y. Iwasaki, Nucl. Phys. B258
1985
Earlier work this paper cites.

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A. Kagimura, A. Tomiya, and R. Yamamura, (2015), arXiv:1508.04986 [hep-lat]

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