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

Abstract

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.

27 pages; v2 minor changes in sec. 5 and discussion improved in secs. 6 and 7, references added, version to appear in JHEP

References in corpus (5)

• Nonlinear Fluid Dynamics from Gravity
• Gravitational Anomaly and Transport
• Thermodynamical second-order hydrodynamic coefficients
• Entropy Current from Partition Function: One Example
• Hydrodynamics in 1+1 dimensions with gravitational anomalies

Cited by in corpus (2)

• Higher Derivative Corrections to Charged Fluids in 2n Dimensions
• Anomalous transport in second order hydrodynamics