Fermion Number Creation via Electromagnetism

Gebhard Grübl and Christian Reitberger

Institut für Theoretische Physik der Universität Innsbruck, A-6020 Innsbruck, Austria

(Received: 12 July 1992)

Abstract. Let an external current, whose support is confined to the space-like slab tex2html_wrap_inline21 in two-dimensional spacetime, build up a localized charge density, which vanishes for times tex2html_wrap_inline23. We show that the zero mass Dirac quantum field reacts to this current by a c-number shift of the fermion number, i.e. tex2html_wrap_inline27, with tex2html_wrap_inline29, where tex2html_wrap_inline31 denotes the total external charge. For the shift of the axial charge we obtain an extension of existing results.

Mathematics Subject Classification (1991). 81T40, 81T50, 81V19.

Lett. Math. Phys. 26, 235 - 243 (1992).