Some remarks on the Gribov ambiguity |
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Authors: | I. M. Singer |
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Affiliation: | (1) Department of Mathematics, University of California, 94720 Berkeley, California, USA;(2) Massachusetts Institute of Technology, 02139 Cambridge, Massachusetts, USA |
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Abstract: | The set of all connections of a principal bundle over the 4-sphere with compact nonabelian Lie group under the action of the group of gauge transformations is studied. It is shown that no continuous choice of exactly one connection on each orbit can be made. Thus the Gribov ambiguity for the Coloumb gauge will occur in all other gauges. No gauge fixing is possible. |
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