Chiral magnetization of non-Abelian vacuum: a lattice study
Résumé
The chiral magnetization properties of cold and hot vacua are studied using quenched simulations in lattice Yang-Mills theory. In weak external magnetic fields the magnetization is proportional to the first power of the magnetic field. We numerically evaluate the coefficient of the proportionality (the chiral susceptibility) using near-zero eigenmodes of overlap fermions. In strong fields the magnetization is a nonlinear function of the applied magnetic field. We find that the nonlinear features of the magnetization are well described by an inverse tangent function. The magnetization is weakly sensitive to temperature in the confinement phase.