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 us 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 attice findings, related to the saturation of the polarization at large fields.

Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models

Marco Ruggieri
2011-01-01

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 us 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 attice findings, related to the saturation of the polarization at large fields.
2011
High Energy Physics - Phenomenology
High Energy Physics - Phenomenology
High Energy Physics - Lattice
Nuclear Theory
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/549929
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