scholarly journals Landau levels of cold dense quark matter in a strong magnetic field

2016 ◽  
Vol 94 (1) ◽  
Author(s):  
Xin-Jian Wen ◽  
Jun-Jun Liang
2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Tanumoy Mandal ◽  
Prashanth Jaikumar

We study the effect of strong magnetic field on competing chiral and diquark order parameters in a regime of moderately dense quark matter. The interdependence of the chiral and diquark condensates through nonperturbative quark mass and strong coupling effects is analyzed in a two-flavor Nambu-Jona-Lasinio (NJL) model. In the weak magnetic field limit, our results agree qualitatively with earlier zero-field studies in the literature that find a critical coupling ratioGD/GS~1.1below which chiral or superconducting order parameters appear almost exclusively. Above the critical ratio, there exists a significant mixed broken phase region where both gaps are nonzero. However, a strong magnetic fieldB≳1018 G disrupts this mixed broken phase region and changes a smooth crossover found in the weak-field case to a first-order transition for both gaps at almost the same critical density. Our results suggest that in the two-flavor approximation to moderately dense quark matter strong magnetic field enhances the possibility of a mixed phase at high density, with implications for the structure, energetics, and vibrational spectrum of neutron stars.


2001 ◽  
Vol 16 (13) ◽  
pp. 2435-2445 ◽  
Author(s):  
P. K. SAHU ◽  
S. K. PATRA

We study the effect of a strong magnetic field on interacting quark matter and apply the same to strange star. We find that interacting strange matter is less stable than noninteracting strange matter in the presence of a strong magnetic field. We then calculate strange star structure parameters such as mass and radius and find that the strange star is less compact for interacting quark matter than for free quark matter in presence of strong magnetic field. The maximum masses of strange stars are found to be within the recent observational limit.


2020 ◽  
Vol 35 (19) ◽  
pp. 2050160
Author(s):  
Song Shi ◽  
Juan Liu

At zero temperature and finite chemical potential, the gap equation of cold dense quark matter under external magnetic field is studied with NJL model in the mean-field approximation. By introducing new methods, it is found that the Nambu phase has sophisticated structures which have not been studied before. As a consequence, the phase diagram is expanded and divided into five areas, in each area the condensate has unique behaviors with chemical potential varying. Furthermore, the expanded phase diagram is used to predict the order of phase transition between the Nambu phase and the Wigner phase, it can also be used to explain the relations of dynamical mass and chemical potential. Meanwhile, the metastable states and cascade effect of dynamical mass are studied in this paper.


2002 ◽  
Vol 17 (04) ◽  
pp. 231-235 ◽  
Author(s):  
A. V. KUZNETSOV ◽  
N. V. MIKHEEV ◽  
M. V. OSIPOV

The electron mass operator in a strong magnetic field is calculated by summation of the leading log contributions in all orders of the perturbation theory. An influence of the strong field on the virtual photon polarization operator is taken into account. The contribution of higher Landau levels of virtual electrons, along with the ground Landau level, is shown to be essential in the leading log approximation.


1996 ◽  
Vol 54 (2) ◽  
pp. 1306-1316 ◽  
Author(s):  
Somenath Chakrabarty

2017 ◽  
Vol 27 (01) ◽  
pp. 1750184 ◽  
Author(s):  
Maxim Dvornikov

We analyze the magnetic field evolution in dense quark matter with unbroken chiral symmetry, which can be found inside quark and hybrid stars. The magnetic field evolves owing to the chiral magnetic effect in the presence of the electroweak interaction between quarks. In our study, we also take into account the magnetohydrodynamic turbulence effects in dense quark matter. We derive the kinetic equations for the spectra of the magnetic helicity density and the magnetic energy density as well as for the chiral imbalances. On the basis of the numerical solution of these equations, we find that turbulence effects are important for the behavior of small scale magnetic fields. It is revealed that, under certain initial conditions, these magnetic fields behave similarly to the electromagnetic flashes of some magnetars. We suggest that fluctuations of magnetic fields, described in frames of our model, which are created in the central regions of a magnetized compact star, can initiate magnetar bursts.


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