scholarly journals Mass generation in the supersymmetric Nambu-Jona-Lasinio model in an external magnetic field

Author(s):  
I. A. Shovkovy
2018 ◽  
Vol 32 (10) ◽  
pp. 1850114
Author(s):  
B. Machet

The 1-loop self-energy of a Dirac electron of mass [Formula: see text] propagating in a thin medium simulating graphene in an external magnetic field [Formula: see text] is investigated in quantum field theory. Equivalence is shown with the so-called reduced QED[Formula: see text] on a 2-brane. Schwinger-like methods are used to calculate the self-mass [Formula: see text] of the electron when it lies in the lowest Landau level. Unlike in standard QED[Formula: see text], it does not vanish at the limit [Formula: see text]: [Formula: see text] on-mass-shell renormalization conditions (with [Formula: see text]); all Landau levels of the virtual electron are taken into account and are implemented. Restricting to the sole lowest Landau level of the virtual electron is explicitly shown to be inadequate. Resummations at higher orders lie beyond the scope of this work.


2014 ◽  
Vol 89 (9) ◽  
Author(s):  
Niklas Mueller ◽  
Jacqueline A. Bonnet ◽  
Christian S. Fischer

1980 ◽  
Vol 41 (C1) ◽  
pp. C1-445-C1-445
Author(s):  
G. Langouche ◽  
N. S. Dixon ◽  
L. Gettner ◽  
S. S. Hanna

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