QED in a Strong External Magnetic Field: Beyond the Constant Mass Approximation
arXiv:hep-ph/0004165 · doi:10.1103/PhysRevD.62.105017
Abstract
We solve the Schwinger-Dyson equations for QED in 2+1 or 3+1 dimensions in the presence of a strong homogeneous external magnetic field. The magnetic field is assumed strong enough, so that the lowest Landau level approximation holds, but the usual assumption of a momentum-independent self-energy is not made. In 2+1 dimensions, the scaling with logarithm changes to a square root dependence on the magnetic field, but the most spectacular result takes place in 3+1 dimensions, where the constant mass approximation turns out to be unreliable and the (momentum-dependent) dynamical mass is larger by several orders of magnitude compared to what has been found till now using the constant mass approximation.
21 pages, 8 figures, plain latex, references added
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- Vacuum polarization in thermal QED with an external magnetic field
- Beyond-Constant-Mass-Approximation Magnetic Catalysis in the Gauge Higgs-Yukawa Model
- Gauge Independence and Chiral Symmetry Breaking in a Strong Magnetic Field
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- Anisotropic Propagator for the Goldstone Modes in Color-flavor Locked Phase in the Presence of a Magnetic Field