Abstract
We investigate the magnetic properties of quark matter in the inhomogeneous chiral phase, where both scalar and pseudoscalar condensates spatially modulate. The energy spectrum of the lowest Landau level becomes asymmetric about zero in the external magnetic field, and gives rise to the remarkably magnetic properties: quark matter has a spontaneous magnetization, while the magnetic susceptibility does not diverge on the critical point.
Highlights
The phase diagram of QCD has been investigated in the finite chemical potential (μ) and finite temperature (T ) region
The dual chiral density wave (DCDW) phase is favored compared to other configurations in the 1 + 1 dimensional system [11] or the external magnetic field (B) [12]
One may expect that the DCDW phase may be realized in neutron stars because it is suggested to emerge in the moderate density region by the analysis of the Nambu–Jona-Lasinio (NJL) model [1]
Summary
The phase diagram of QCD has been investigated in the finite chemical potential (μ) and finite temperature (T ) region. The observational possibility by the lattice QCD has been suggested [5, 6]. In this phase, quark condensate has a spatially modulating configuration and such a modulating condensate resembles the FFLO-type superconductivity [7, 8] or spin/charge density wave [9, 10]. One may expect that the DCDW phase may be realized in neutron stars because it is suggested to emerge in the moderate density region by the analysis of the Nambu–Jona-Lasinio (NJL) model [1]. It may be important and interesting to investigate the magnetic properties of quark matter to suggest the mechanism from the microscopic theory
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