Fermion number creation via electromagnetism |
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Authors: | Gebhard Grübl Christian Reitberger |
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Institution: | (1) Institut für Theoretische Physik der Universität Innsbruck, A-6020 Innsbruck, Austria |
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Abstract: | Let an external current, whose support is confined to the space-like slab |x
0| < T in two-dimensional spacetime, build up a localized charge density which vanishes for times |x
0| > T. We show that the zero mass Dirac quantum field reacts to this current by a c-number shift of the fermion number, i.e. Q
out=Q
in+ Q, with
, where q(x
0) denotes the total external charge. For the shift of the axial charge we obtain an extension of existing results. |
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Keywords: | 81T40 81T50 81V19 |
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