Abstract
I investigate the ferromagnetic phase transition inside strong quark matter (SQM) with one gluon exchange interaction between strong quarks. I use a variational method and the Landau-Fermi liquid theory and obtain the thermodynamics quantities of SQM. In the low temperature limit, the equation of state (EOS) and critical exponents for the second-order phase transition (ferromagnetic phase transition) in SQM are analytically calculated. The results are in agreement with the Ginzberg-Landau theory.
Highlights
The properties of Fermi systems have been investigated in several works [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]
I use the variational approach to obtain the critical exponents of quark matter
The method is based on the minimization of the free energy. Fermi systems, such as an electron gas or quark matter, can be in a ferromagnetic phase for a specific value of the density and temperature. This can be happen at low temperature and high density
Summary
The properties of Fermi systems have been investigated in several works [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]. All relations are written in the non-relativistic and low temperature limit, because in the ultra-relativistic region m k f , the polarized states have greater energy than the un-polarized states [24,25]. The low temperature domain characteristic is Fermi energy of system. If the Fermi energy of system is greater than thermal energy, we can use the low temperature limit. In SQM, the order of Fermi energy is greater than 20 MeV [25]; and low temperature means T 20 MeV. The ferromagnetic phase can appear in the non-relativistic region [25]. The resulting scattering matrix elements in the non-relativistic region automatically have spin-dependent terms and we do not insert the spin-spin interaction manually [26]. By varying the free energy with respect to p (the polarization parameter) and the effective mass at various densities and temperatures, we can minimize the free energy for a given density and temperature
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
