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I study the localisation properties of low Dirac eigenmodes in 2+1dimensional SU(3) pure gauge theory, both in the low-temperature, confined andchirally-broken phase and in the high-temperature, deconfined andchirally-restored phase, by means of numerical lattice simulations. While thesemodes are delocalised at low temperature, they become localised at hightemperature, up to a critical point in the Dirac spectrum where a BKT-typeAnderson transition takes place. All results point to localisation appearing atthe deconfinement temperature, and support previous expectations about theclose relation between deconfinement, chiral symmetry breaking, andlocalisation.

Localisation in 2+1 dimensional SU(3) pure gauge theory at finite temperature