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Magnetic catalysis of chiral symmetry breaking and the Pauli problem

Y. Jack Ng

hep-tharXiv:hep-th/9803074

Abstract

The non-perturbative Schwinger-Dyson equation is used to show that chiral symmetry is dynamically broken in QED at weak gauge couplings when an external uniform magnetic field is present. A complete analysis of this phenomenon may shed light on the Pauli problem, namely, why α = 1/137.

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