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Phys. Rev. D 37, 1589–1596 (1988)

Fourier acceleration in lattice gauge theories. II. Matrix inversion and the quark propagator

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G. Katz, G. Batrouni, C. Davies, A. Kronfeld, P. Lepage, P. Rossi, B. Svetitsky, and K. Wilson
Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, New York 14853

Received 1 June 1987; published in the issue dated 15 March 1988

We present a new algorithm for inverting the quark propagator in lattice QCD that removes the critical slowing down associated with the continuum limit. Both a theoretical analysis and a practical implementation are given, together with results from numerical simulations that illustrate the algorithm. The acceleration speeds convergence by factors of 34 on small lattices and should lead to proportionately larger gains on larger lattices.

© 1988 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.37.1589
DOI:
10.1103/PhysRevD.37.1589
PACS:
11.15.Ha, 12.38.Gc

See Also

See Also: C. T. Davies, G. G. Batrouni, G. R. Katz, A. S. Kronfeld, G. P. Lepage, K. G. Wilson, P. Rossi, and B. Svetitsky, Fourier acceleration in lattice gauge theories. I. Landau gauge fixing, Phys. Rev. D 37, 1581 (1988).