Abstract
We study transport in a class of physical systems possessing two conserved chiral charges. We describe a relation between universality of transport properties of such systems and the chiral anomaly. We show that the nonvanishing of a current expectation value implies the presence of gapless modes, in analogy to the Goldstone theorem. Our main tool is a new formula expressing currents in terms of anomalous commutators. Universality of conductance arises as a natural consequence of the nonrenormalization of anomalies. To illustrate our formalism we examine transport properties of a quantum wire in dimensions and of massless QED in a background magnetic field in dimensions.
- Received 30 March 1998
DOI:https://doi.org/10.1103/PhysRevLett.81.3503
©1998 American Physical Society