Magnetic Catalysis in Quantum Electrodynamics

Details Magnetic Catalysis in Quantum Electrodynamics Magnetic Catalysis in Quantum Electrodynamics

1997-07-23

arxiv.org/abs/hep-ph/9707432v1

Phys.Rev. D57 (1998) 3759-3762

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, RevTeX, 2 Postscript figures, uses epsf.sty

Scientific paper

10.1103/PhysRevD.57.3759

We derive the (Wilsonian) low energy effective Lagrangian for Quantum Electrodynamics under external constant magnetic field by integrating out all electrons except those in the lowest Landau level. We find the one-loop effective Lagrangian contains a marginal four-Fermi interaction with anomalous dimension, ${(\ln2)^2\over 2\pi^2}e^4$. Renormalization group analysis shows that the four-Fermi interaction will break chiral symmetry in QED if the external magnetic field is extremely strong, $B>10^{42}$ gauss, or if the Landau gap, $\sqrt{|eB|}>6.5 \times 10^{10}$ GeV.

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