Dynamical Flavour Symmetry Breaking by a Magnetic Field in Lattice QED_3

Details Dynamical Flavour Symmetry Breaking by a Magnetic Field in Lattice QED_3 Dynamical Flavour Symmetry Breaking by a Magnetic Field in Lattice QED_3

1998-02-27

arxiv.org/abs/hep-lat/9802037v2

Phys.Lett. B431 (1998) 147-160

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages, latex, 9 figures, uses psfig and epsf; minor typos in eqs.(10) and (17) corrected

Scientific paper

10.1016/S0370-2693(98)00569-3

We perform a lattice study, in the quenched approximation, of dynamical mass generation in a system of relativistic (Dirac) fermions, coupled to an Abelian gauge field in (2+1)-dimensions, in the presence of an external (constant) magnetic field, perpendicular to the spatial planes. It is shown that a strong magnetic field catalyzes chiral symmetry breaking, in agreement with results in the continuum. The r\^ole of the higher-Landau poles in inducing a critical temperature above which the phenomenon disappears is pointed out. We also discuss the implications of this model on the opening of a gap in doped antiferromagnetic superconductors.

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