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Ultraviolet filtering of lattice configurations and applications to Monte Carlo dynamics

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arxiv 1103.5999 v1 pith:WLKIEDSR submitted 2011-03-30 hep-lat hep-th

Margarita Garcia Perez , Antonio Gonzalez-Arroyo , Alfonso Sastre This is my paper · ORCID
classification hep-lathep-th
keywords carloconfigurationsmontedynamicsfilteringmethodadjointapplications
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We present a detailed study of a filtering method based upon Dirac quasi-zero-modes in the adjoint representation. The procedure induces no distortions on configurations which are solutions of the euclidean classical equations of motion. On the other hand, it is very effective in reducing the short-wavelength stochastic noise present in Monte Carlo generated configurations. After testing the performance of the method in various situations, we apply it successfully to study the effect of Monte Carlo dynamics on topological structures like instantons.

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    Monte Carlo data on a T2 x R2 geometry show that the SU(2) vacuum at small torus sizes is described by a gas of vortex-like fractional instantons, with string tension proportional to their density and a saturated near...

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