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arXiv · 1103.1194

Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models

Marco Frasca·Marco Ruggieri
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Abstract

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 $σ-$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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Marco Frasca, Marco Ruggieri. 2011-03-07. Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models. https://doi.org/10.1103/physrevd.83.094024

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