The 1-loop self-energy of an electron in a strong external magnetic field revisited

@inproceedings{Machet2016The1S,
  title={The 1-loop self-energy of an electron in a strong external magnetic field revisited},
  author={Bruno Machet},
  year={2016}
}
I revisit the 1-loop self-energy of an electron of mass m in a strong, constant and uniform external magnetic field B. First, I show, after Tsai [1], how, for an electron in the lowest Landau level, Schwinger’s techniques [2] explained by Dittrich and Reuter [3] lead to the same integral deduced by Demeur [4] and used later by Jancovici [5]. Then, I calculate the Demeur-Jancovici integral in the range 75 ≤ L ≡ |e|B m2 ≤ 10 000, which yields δm ' αm 4π [( lnL− γE − 3 2 )2 − 94 + π β−1 + π 6… CONTINUE READING

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