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arXiv · hep-ph/9901446

Boundary Effects in the Magnetic Catalysis of Chiral Symmetry Breaking

E. J. Ferrer·V. P. Gusynin·V. de la Incera
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Abstract

The catalysis of chiral symmetry breaking by an applied constant magnetic field and in the presence of boundaries along third axis is investigated in the four-dimensional Nambu-Jona-Lasinio model. It is shown that in case of periodic boundary conditions for fermions the magnetic field breaks the chiral symmetry, generating a dynamical mass even at the weakest attractive interaction between fermions. For antiperiodic boundary conditions the effect of the finite third dimension is to counteract the chiral symmetry breaking.

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E. J. Ferrer, V. P. Gusynin, V. de la Incera. 1999-02-26. Boundary Effects in the Magnetic Catalysis of Chiral Symmetry Breaking. https://doi.org/10.1016/s0370-2693(99)00470-0

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