2008/12/31 by P. V. Buividovich, M. N. Chernodub, E. V. Luschevskaya +1 · 1 citation
Physics and Astronomy · #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1016/j.physletb.2009.11.017
published as Phys.Lett.B682:484-489,2010 · 6 pages, Elsevier article style, 5 figures; revision: references and discussions added, published version
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 √(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.