Inhomogeneous chiral phase by a variational approach

Karasawa, Shintaro; Tatsumi, Toshitaka

doi:10.1051/epjconf/20146604013

Cited by 2 publications

(3 citation statements)

References 5 publications

(4 reference statements)

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“…We have discussed the phase diagram of the inhomogeneous chiral phase in the chiral limit m c = 0, while it is known that the current quark mass m c suppresses the inhomogeneous phase [5,16,17,20]. For the case with the magnetic field it has been supposed that the effect of current quark mass defeat the effect of spectral asymmetry and that chiral condensate is homogeneous at low µ and low B region [2].…”

Section: Summary and Concluding Remarksmentioning

confidence: 99%

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Hybrid chiral condensate in the external magnetic field

2015

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We study the phase diagram of the Nambu-Jona-Lasinio model in the external magnetic field within the mean-field approximation, taking into account the inhomogeneous chiral condensate. It is shown that there appears a new type of the chiral condensate, endowed with two features of real kink crystal and dual chiral density wave, in the magnetic field. We also show that there are first order phase transitions between different inhomogeneous phases in the presence of magnetic field.

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Section: Summary and Concluding Remarksmentioning

confidence: 99%

“…These effects should be very important in realistic situations, especially for compact stars. The effect of the current quark mass has been studied in some papers [5,16,17] and change of the phase diagram has been figured out.…”

Section: Introductionmentioning

confidence: 99%

Hybrid chiral condensate in the external magnetic field

2015

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“…It should be noted that we cannot estimate the position of the singular line by only using the lattice QCD data, unlike the natural boundary which can be estimated from the convergence behavior of the series. Meanwhile, a nonzero current quark mass gives rise to the configuration change of the DCDW condensate [47].…”

Section: Discussionmentioning

confidence: 99%

Inhomogeneous chiral condensates and non-analyticity under an external magnetic field

Kashiwa,

Lee,

Nishiyama

et al. 2015

Preprint

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We investigate inhomogeneous chiral condensates, such as the so-called dual chiral density wave of dense quark matter, under an external magnetic field at finite real and imaginary chemical potentials. In a model-independent manner, we find that analytic continuation from imaginary to real chemical potential is not possible due to the singularity induced by inhomogeneous chiral condensates at zero chemical potential. From the discussion on the non-analyticity and methods used in lattice QCD simulations, e.g., Taylor expansion, and the analytic continuation with an imaginary chemical potential, it turns out that information on an inhomogeneous chiral condensed phase is missed in the lattice simulations at finite baryon chemical potentials unless the non-analyticity at zero chemical potential is correctly considered. We also discuss an exceptional case without such non-analyticity at zero chemical potential.

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Inhomogeneous chiral phase by a variational approach

Cited by 2 publications

References 5 publications

Hybrid chiral condensate in the external magnetic field

Hybrid chiral condensate in the external magnetic field

Inhomogeneous chiral condensates and non-analyticity under an external magnetic field

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