Emergence of multiple critical points in the NJL model with vector coupling

Denke, R.; Macías, Juan C.; Pinto, Marcus Benghi

doi:10.1063/1.4795992

Cited by 1 publication

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“…In this case, the first order transition line shrinks, forcing the CP to appear at smaller temperatures, while the first order transition occurs at higher coexistence chemical potential values as G V increases. In this case, the coexistence region decreases (this situation will not be affected by the presence of a magnetic field [32]) and should produce an even smaller value for the surface tension. With respect to the MFA adopted here we believe that further improvements will only reduce the surface tension since evaluations performed with the nonperturbative Optimized Perturbation Theory (OPT), at G V = 0, have shown [26] that already at the first non trivial order the free energy receives contributions from two loop terms which are 1/N c suppressed.…”

Section: Other Possible Effectsmentioning

confidence: 98%

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confidence: 98%

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Surface tension of magnetized quark matter

Garcia

Pinto

2013

Phys. Rev. C

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The surface tension of quark matter plays a crucial role for the possibility of quark matter nucleation during the formation of compact stellar objects and also for the existence of a mixed phase within hybrid stars. However, despite its importance, this quantity does not have a well established numerical value. Some early estimates have predicted that, at zero temperature, the value falls within the wide range γ0 ≈ 10 − 300 MeV/fm 2 but, very recently, different model applications have reduced these numerical values to fall within the range γ0 ≈ 5 − 30 MeV/fm 2 which would favor the phase conversion process as well as the appearance of a mixed phase in hybrid stars. In magnetars one should also account for the presence of very high magnetic fields which may reach up to about eB ≈ 3 − 30 m 2 π (B ≈ 10 19 − 10 20 G) at the core of the star so that it may also be important to analyze how the presence of a magnetic field affects the surface tension. With this aim we consider magnetized two flavor quark matter, described by the Nambu-Jona-Lasinio model. We show that although the surface tension oscillates around its B = 0 value, when 0 < eB < ∼ 10 m 2 π , it only reaches values which are still relatively small. For eB ≈ 5 m 2 π the B = 0 surface tension value drops by about 30% while for eB > ∼ 10 m 2 π it quickly raises with the field intensity so that the phase conversion and the presence of a mixed phase should be suppressed if extremely high fields are present. We also investigate how thermal effects influence the surface tension for magnetized quark matter.

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Section: Other Possible Effectsmentioning

confidence: 98%

mentioning

confidence: 98%