Chiral magnetization of non-Abelian vacuum: a lattice study

P. V. Buividovich (1) , Maxim N. Chernodub (2) , E. V. Luschevskaya (1) , M. I. Polikarpov (1)

1 ITEP - Institute of Theoretical and Experimental Physics [Moscow]
2 LMPT - Laboratoire de Mathématiques et Physique Théorique

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.

Mots clés: lattice gauge theory; strong magnetic fields; chiral symmetry breaking

Domaines: Physique des Hautes Energies - Réseau [hep-lat]; Physique des Hautes Energies - Phénoménologie [hep-ph]; Physique des Hautes Energies - Théorie [hep-th]

P. V. Buividovich, Maxim N. Chernodub, E. V. Luschevskaya, M. I. Polikarpov. Chiral magnetization of non-Abelian vacuum: a lattice study. Nuclear Physics B, 2009, 826 (1-2), pp.313. ⟨10.1016/j.nuclphysb.2009.10.008⟩. ⟨hal-00397380⟩