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

Understand

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.