Confinement by thick magnetic vortices
An argument is presented showing that the pure lattice gauge theories which are infrared unstable at the origin of the coupling constant are always in confining phase, provided that (i) the gauge group is compact and contains nontrivial center;(ii) Lagrangian does not contain long range interaction. The steps for an attempt at a proof of confinement are suggested.
KeywordsGauge Group Wilson Loop String Tension Lattice Gauge Theory Center Transformation
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