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We revisit the study of a 2D quantum field theory in the hydrodynamic regimeand develop a formalism based on Euclidean one-loop partition functions that issuitable to analyze transport properties due to gauge and gravitationalanomalies. To do so, we generalize the method of a modified Dirac operatordeveloped for zero-temperature anomalies to finite temperature, chemicalpotentials and rotations.

One-loop effective actions and 2D hydrodynamics with anomalies