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Phys. Rev. D 37, 1581–1588 (1988)

Fourier acceleration in lattice gauge theories. I. Landau gauge fixing

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C. T. H. Davies
Department of Physics and Astronomy, University of Glasgow, Glasgow, G12 8QQ, United Kingdom

G. G. Batrouni
Physics Department, Boston University, Boston, Massachusetts 02215

G. R. Katz
Naval Research Laboratory, Washington, D.C. 20375

A. S. Kronfeld
Theory Division, DESY, Notkestrasse 85, D-2000 Hamburg 52, West Germany

G. P. Lepage and K. G. Wilson
Newman Laboratory for Nuclear Studies, Cornell University, Ithaca, New York 14853

P. Rossi
Department of Physics, University of California at San Diego, LaJolla, California 92093

B. Svetitsky
Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

Received 2 July 1987; published in the issue dated 15 March 1988

Fourier acceleration is a useful technique which can be applied to many different numerical algorithms in order to alleviate the problem of critical slowing down. Here we describe its application to an optimization problem in the simulation of lattice gauge theories, that of gauge fixing a configuration of link fields to the Landau gauge (∂μAμ=0). We find that a steepest-descents method of gauge fixing link fields at β=5.8 on an 84 lattice can be made 5 times faster using Fourier acceleration. This factor will grow as the volume of the lattice is increased. We also discuss other gauges that are useful to lattice-gauge-theory simulations, among them one that is a combination of the axial and Landau gauges. This seems to be the optimal gauge to impose for the Fourier acceleration of two other important algorithms, the inversion of the fermion matrix and the updating of gauge field configurations.

© 1988 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.37.1581
DOI:
10.1103/PhysRevD.37.1581
PACS:
11.15.Ha, 02.70.+d, 12.38.Gc

See Also

See Also: C. T. Davies, G. G. Batrouni, G. R. Katz, A. S. Kronfeld, G. P. Lepage, P. Rossi, B. Svetitsky, and K. G. Wilson, Fourier acceleration in lattice gauge theories. III. Updating field configurations, Phys. Rev. D 41, 1953 (1990).

See Also: G. Katz, G. Batrouni, C. Davies, A. Kronfeld, P. Lepage, P. Rossi, B. Svetitsky, and K. Wilson, Fourier acceleration in lattice gauge theories. II. Matrix inversion and the quark propagator, Phys. Rev. D 37, 1589 (1988).

 
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