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I'm studying Jackiw's "Fractional Charge and Zero Modes for Planar Systems in a Magnetic Field" DOI: 10.1103/PhysRevD.33.2500

but I have difficulties at some points. One of the problems is

$$\langle j^0\rangle=\pm\frac{e}{4\pi}B$$

where $j$ is four-current, $B$ is magnetic field. How can I derive this result (and why we used only $j^0$ component)?.

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  • $\begingroup$ The link is to the Erratum, which contains a single paragraph noting an error in invoking an argument and no equations. Could you update with the correct link? $\endgroup$
    – Kyle Kanos
    Commented Apr 3, 2014 at 0:56
  • $\begingroup$ I fixed the link. $\endgroup$
    – ChipotleHS
    Commented Apr 3, 2014 at 7:52

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