  At high temperature part of the spectrum of the quark Dirac operator is known
to consist of localized states. This comes about because around the crossover
temperature to the quark-gluon plasma localized states start to appear at the
low end of the spectrum and as the system is further heated, states higher up
in the spectrum also get localized. Since localization and the crossover to the
chirally restored phase happen around the same temperature, the question of how
the two phenomena are connected naturally arises. Here we speculate on the
nature of possible gauge configurations that could support localized quark
eigenmodes. In particular, by analyzing eigenmodes of the staggerd and overlap
Dirac operator we show that the dilute gas of calorons in the high temperature
phase is very unlikely to play a major role in localization.
