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Gauge Independence and Chiral Symmetry Breaking in a Strong Magnetic Field
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The gauge independence of the dynamical fermion mass generated through chiral symmetry breaking in QED in a strong, constant external magnetic field is critically examined. We present a (first, to the best of our knowledge) consistent truncation of the Schwinger-Dyson equations in the lowest Landau level approximation. We demonstrate that the dynamical fermion mass, obtained as the solution of the truncated Schwinger-Dyson equations evaluated on the fermion mass shell, is manifestly gauge independent.
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Cited by 2 Pith papers
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From Magnetic to Inverse Magnetic Catalysis: The Interplay of Quark and Gluon Mass Generation in Magnetic Fields
Coupled DSE solutions show gluon screening mass increase suppresses quark-gluon interaction and drives inverse magnetic catalysis near the chiral phase transition.
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Anisotropic quark propagation and Zeeman effect in an external magnetic field
A Dyson-Schwinger calculation shows that in a magnetic field, quarks acquire distinct transverse and longitudinal effective masses, with the transverse mass always larger, and a mass splitting that grows roughly as th...
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