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Trivializing maps, the Wilson flow and the HMC algorithm

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arxiv 0907.5491 v3 pith:LR3JOHI7 submitted 2009-07-31 hep-lat

Trivializing maps, the Wilson flow and the HMC algorithm

classification hep-lat
keywords fieldflowmapswilsonalgorithmgaugelatticetheory
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In lattice gauge theory, there exist field transformations that map the theory to the trivial one, where the basic field variables are completely decoupled from one another. Such maps can be constructed systematically by integrating certain flow equations in field space. The construction is worked out in some detail and it is proposed to combine the Wilson flow (which generates approximately trivializing maps for the Wilson gauge action) with the HMC simulation algorithm in order to improve the efficiency of lattice QCD simulations.

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