Trivializing maps, the Wilson flow and the HMC algorithm

Details Trivializing maps, the Wilson flow and the HMC algorithm Trivializing maps, the Wilson flow and the HMC algorithm

2009-07-31

arxiv.org/abs/0907.5491v3

Commun.Math.Phys.293:899-919,2010

Physics

High Energy Physics

High Energy Physics - Lattice

Plain TeX source, 29 pages, 3 figures. v3: minor corrections, version published in CMP

Scientific paper

10.1007/s00220-009-0953-7

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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