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Axial anomaly and nesting is elucidated in the context of the inhomogeneouschiral phase. Using the Gross-Neveu models in 1+1 dimensions, we shall discussaxial anomaly and nesting from two different points of view: one is homogeneouschiral transition and the other is the Ferrel-Fulde-Larkin-Ovchinnikov (FFLO)state in superconductivity, which are closely related to each other by way ofduality. It is shown that axial anomaly leads to a particular kind of the FFLOstate within the two dimensional Nambu-Jona Lasinio model, where axial anomalyis manifested in a different mode. Nesting is a driving mechanism for bothphenomena, but its realization has different features. We reconsider the effectof nesting in the context of duality.

Axial anomaly and nesting in the inhomogeneous chiral phase