Numerical study of chiral symmetry breaking in non-Abelian gauge theory with background magnetic field

Details Numerical study of chiral symmetry breaking in non-Abelian gauge theory with background magnetic field Numerical study of chiral symmetry breaking in non-Abelian gauge theory with background magnetic field

2008-12-09

arxiv.org/abs/0812.1740v2

Phys.Lett.B682:484-489,2010

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, Elsevier article style, 5 figures; revision: references and discussions added, published version

Scientific paper

10.1016/j.physletb.2009.11.017

We investigate the effect of a uniform background magnetic field on the chiral symmetry breaking in SU(2) Yang-Mills theory on the lattice. We observe that the chiral condensate grows linearly with the field strength B up to \sqrt{e B} = 3 GeV as predicted by chiral perturbation theory for full QCD. As the temperature increases the coefficient in front of the linear term gets smaller. In the magnetic field near-zero eigenmodes of the Dirac operator tend to have more regular structure with larger (compared to zero-field case) Hausdorff dimensionality. We suggest that the delocalization of near-zero eigenmodes plays a crucial role in the enhancement of the chiral symmetry breaking.

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