scholarly journals Dynamical quark mass generation in a strong external magnetic field

2014 ◽  
Vol 89 (9) ◽  
Author(s):  
Niklas Mueller ◽  
Jacqueline A. Bonnet ◽  
Christian S. Fischer
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Quark Mass ◽  
Mass Generation ◽  
Dynamical Quark Mass ◽  
Dynamical Quark

scholarly journals 1-Loop mass generation by a constant external magnetic field for an electron propagating in a thin medium

2018 ◽  
Vol 32 (10) ◽  
pp. 1850114
Author(s):  
B. Machet
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Landau Level ◽  
Mass Formula ◽  
Mass Shell ◽  
Mass Generation ◽  
Self Energy ◽  
Lowest Landau Level ◽  
Dirac Electron ◽  
Constant External Magnetic Field

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.

Mass-shell properties of the dynamical quark mass

1986 ◽  
Vol 180 (1-2) ◽  
pp. 125-128 ◽  
Author(s):  
L.J. Reinders ◽  
K. Stam
Keyword(s):  
Quark Mass ◽  
Mass Shell ◽  
Dynamical Quark Mass ◽  
Dynamical Quark

scholarly journals Trace anomaly and dynamical quark mass

2020 ◽  
Author(s):  
Yi-Bo Yang ◽  
Jian Liang ◽  
Zhaofeng Liu ◽  
Peng Sun ◽  
Keyword(s):  
Quark Mass ◽  
Trace Anomaly ◽  
Dynamical Quark Mass ◽  
Dynamical Quark
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