Absence of energy currents in an equilibrium state and chiral anomalies

Understand

A long time ago F.

• Bloch showed that in a system of interacting non-relativistic particles the net particle-number current must vanish in any equilibrium state.
• Bloch's argument does not generalize easily to the energy current.
• We devise an alternative argument which proves the vanishing of the net energy currents in equilibrium states of lattice systems as well as systems of non-relativistic particles with finite-range potential interactions.