Dimensional reduction, magnetic flux strings, and domain walls

Details Dimensional reduction, magnetic flux strings, and domain walls Dimensional reduction, magnetic flux strings, and domain walls

1999-12-31

arxiv.org/abs/hep-th/9912285v1

Nucl.Phys. B582 (2000) 716-732

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, LaTeX

Scientific paper

10.1016/S0550-3213(00)00315-1

We study some consequences of dimensionally reducing systems with massless fermions and Abelian gauge fields from 3+1 to 2+1 dimensions. We first consider fermions in the presence of an external Abelian gauge field. In the reduced theory, obtained by compactifying one of the coordinates `a la Kaluza-Klein, magnetic flux strings are mapped into domain wall defects. Fermionic zero modes, localized around the flux strings of the 3+1 dimensional theory, become also zero modes in the reduced theory, via the Callan and Harvey mechanism, and are concentrated around the domain wall defects. We also study a dynamical model: massless $QED_4$, with fermions confined to a plane, deriving the effective action that describes the `planar' system.

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