Anomalous charged fluids in 1+1d from equilibrium partition function

TL;DR

This paper investigates the constraints on parity-violating charged fluids in 1+1 dimensions imposed by equilibrium partition functions, aligning anomaly considerations with thermodynamic principles.

Contribution

It constructs an equilibrium partition function consistent with CPT invariance that reproduces anomalies and matches thermodynamic constraints on fluid constitutive relations.

Findings

Partition function reproduces charge current anomaly.

Constraints from partition function match second law of thermodynamics.

Provides a consistent framework for anomalous fluids in 1+1d.

Abstract

In this note we explore the constraints imposed by the existence of equilibrium partition on parity violating charged fluids in 1+1 dimensions at zero derivative order. We write the equilibrium partition function consistent with 1+1 dimensional CPT invariance and which reproduces the correct anomaly in the charge current. The constraints on constitutive relations obtained in this way matches precisely with those obtained using the second law of thermodynamics.