Two dimensional hydrodynamics with gauge and gravitational anomalies
We present new findings in two dimensional chiral and non-chiral hydrodynamics with gauge and gravitational anomalies. Exact constitutive relations for the stress tensor and charge current are obtained. These relations involve arbitrary constants that may be fixed by choosing appropriate boundary conditions corresponding to different vacuum states. For the chiral theory, the constitutive relations may be put in the ideal (chiral) fluid form. For the non-chiral case, the constitutive relations take the ideal fluid form only for the Boulware vacuum. Finally, we make a comparison with the derivative expansion approach.