On Chiral Symmetry Breaking in a Constant Magnetic Field in Higher Dimension

Details On Chiral Symmetry Breaking in a Constant Magnetic Field in Higher Dimension On Chiral Symmetry Breaking in a Constant Magnetic Field in Higher Dimension

2000-05-31

arxiv.org/abs/hep-th/0005285v1

Phys.Lett. B491 (2000) 305-310

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX

Scientific paper

10.1016/S0370-2693(00)01065-0

Chiral symmetry breaking in the Nambu-Jona-Lasinio model in a constant magnetic field is studied in spacetimes of dimension D > 4. It is shown that a constant magnetic field can be characterized by [(D-1)/2] parameters. For the maximal number of nonzero field parameters, we show that there is an effective reduction of the spacetime dimension for fermions in the infrared region D $\to$ 1 + 1 for even-dimensional spacetimes and D $\to$ 0 + 1 for odd-dimensional spacetimes. Explicit solutions of the gap equation confirm our conclusions.

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