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We describe our recent proposal that distinct phases of gauge theories withfundamental quarks translate into specific types of low-energy behavior inDirac spectral density. The resulting scenario is built around new evidencesubstantiating the existence of a phase characterized by bimodal (anomalous)density, and corresponding to deconfined dynamics with broken valence chiralsymmetry. We argue that such anomalous phase occurs quite generically in thesetheories, including in "real world" QCD above the crossover temperature, and inzero-temperature systems with many light flavors.

Classifying the Phases of Gauge Theories by Spectral Density of Probing Chiral Quarks