Why do instantons exist in lattice gauge theory?
- From: Max <awsg02@xxxxxxxxx>
- Date: Wed, 22 Feb 2006 00:47:14 +0000 (UTC)
According to Polyakov, the 2+1 dimensional compact U(1) lattice gauge
theory is in the confining phase, due to the disturbance of the
instantons. The instantons are point like topological defects in the
2+1 dimension.
However, the second homotopy group of the U(1) group space is trivial,
which should exclude point like topological defects in the 2+1
dimension.
Why do Polyakov's instantons exist in 2+1D U(1) lattice gauge theory?
-Max
.
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