Universality of transport properties in equilibrium, Goldstone theorem and chiral anomaly

Details Universality of transport properties in equilibrium, Goldstone theorem and chiral anomaly Universality of transport properties in equilibrium, Goldstone theorem and chiral anomaly

1998-03-27

arxiv.org/abs/cond-mat/9803346v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, LaTeX

Scientific paper

10.1103/PhysRevLett.81.3503

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 non-vanishing 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 (1+1) dimensions and of massless QED in background magnetic field in (3+1) dimensions.

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