Spin susceptibility of degenerate quark matter

Abstract

The expression for the spin susceptibility $\chi$ of degenerate quark matter is derived with corrections upto $\mathcal{O}(g^4\ln g^2)$. It is shown that at low density, ${\chi }^{-1}$ changes sign and turns negative indicating a ferromagnetic phase transition. To this order, we also calculate sound velocity $c_1$ and incompressibility $K$ with arbitrary spin polarization. The estimated values of $c_1$ and $K$ show that the equation of state of the polarized matter is stiffer than the unpolarized one. Finally we determine the finite temperature corrections to the exchange energy and derive corresponding results for the spin susceptibility.

15 pages, 2 figures, New section added, published in Physical Review C,80,054911

References in corpus (6)

• Spin polarized two-dimensional electron gas embedded in semimagnetic quantum well : ground state, spin responses, spin excitations, Raman spectrum
• Possible Ferromagnetism in the Large N(c) and N(f) limit of quark matter
• Magnetic susceptibility of quark matter within Fermi-liquid theory
• Spin dependent Fermi Liquid parameters and properties of polarized quark matter
• Non-Fermi-liquid effect in magnetic susceptibility
• Ground state energy of spin polarized quark matter with correlation

Cited by in corpus (4)

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• Spin polarized phases in strongly interacting matter: interplay between axial-vector and tensor mean fields
• Symmetric and anti-symmetric Landau parameters and magnetic properties of dense quark matter
• Correlation corrections to the thermodynamic properties of spin asymmetric QGP matter