Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models

Details Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models

2011-03-07

arxiv.org/abs/1103.1194v1

Phys.Rev.D83:094024,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 4 figures

Scientific paper

10.1103/PhysRevD.83.094024

We compute the magnetic susceptibility of the quark condensate and the polarization of quarks at zero temperature and in a uniform magnetic background. Our theoretical framework consists of two chiral models that allow to treat self-consistently the spontaneous breaking of chiral symmetry: the linear $\sigma-$model coupled to quarks, dubbed quark-meson model, and the Nambu-Jona-Lasinio model. We also perform analytic estimates of the same quantities within the renormalized quark-meson model, both in the regimes of weak and strong fields. Our numerical results are in agreement with the recent literature; moreover, we confirm previous Lattice findings, related to the saturation of the polarization at large fields.

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