An investigation into a wavelet accelerated gauge fixing algorithm

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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Resubmitted as a uuencode-compressed-tar postscript file. A Daubechies wavelet transform will transform a vector of length $N$

Scientific paper

10.1016/0920-5632(94)90511-8

We introduce an acceleration algorithm for coulomb gauge fixing, using the compactly supported wavelets introduced by Daubechies. The algorithm is similar to Fourier acceleration. Our provisional numerical results for $SU(3)$ on $8^{4}$ lattices show that the acceleration based on the DAUB6 transform can reduce the number of iterations by a factor up to 3 over the unaccelerated algorithm. The reduction in iterations for Fourier acceleration is approximately a factor of 7.

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