A vectorized code for the computation of the topological charge in SU(2) lattice gauge theory

Published: 01-01-1989| Version 1 | DOI: 10.17632/8x7rtgpx4r.1
A.S. Kronfeld,
M.L. Laursen,
G. Schierholz,
C. Schleiermacher,
U.-J. Wiese


Abstract A vectorized code for calculating the topological charge of an SU(2) lattice gauge field is presented. The program is based on the combinatoric algorithm of Phillips and Stone. The present version works for hypercubic lattices with the gauge field stored according to the three-dimensional checkerboard scheme. Other storage schemes and simplicial lattices can be accomodated with minor modifications. Title of program: QUBIC Catalogue Id: ABHQ_v1_0 Nature of problem Four-dimensional SU(N) gauge fields are characterized by a topological charge, known as the second Chern number to mathematicians. This feature, not shared by Abelian gauge fields, is conjectured to be significant for the peculiar properties of quantized nonabelian gauge theories. For example, the topology of the gauge field is known to be relevant to the resolution of the "UA(1) problem", and the role of topology in the confinement mechanism needs clarification. Versions of this program held in the CPC repository in Mendeley Data ABHQ_v1_0; QUBIC; 10.1016/0010-4655(89)90037-4 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)