Second-order partition function of a non-interacting chiral fluid in 3+1 dimensions

Understand

We compute the partition function for non-interacting chiral fermions at second order in a derivative expansion of an arbitrary time-independent gravitational and gauge background.

• We find that Pauli-Villars regularization of the vacuum part is needed to get consistent results.
• We use our results to discuss some features of the non-dissipative constitutive relations of second order hydrodynamics.