Chiral mirror-baryon-meson model and nuclear matter beyond mean-field approximation

Weyrich, Johannes; Strodthoff, Nils; Smekal, Lorenz von

doi:10.1103/physrevc.92.015214

Cited by 50 publications

(42 citation statements)

References 63 publications

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“…We see again that at T = 0, fluctuations show up at µ B = m N , but by reaching µ c , the relative changes are less than 10%; thus, the SB violation remains small. Note that no first order chiral transition is observed beyond µ c , similarly as found in [22] (the other jump in the order parameters, related to the nuclear liquid-gas transition, is in turn missing due to the absence of the dynamics of a neutral vector meson [24,28]). …”

Section: Resultsmentioning

confidence: 68%

Mesonic and nucleon fluctuation effects at finite baryon density

Fejős

2017

Phys. Rev. D

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Mesonic and nucleon fluctuation effects are investigated in medium. We couple the nucleon field to the 2 + 1 flavor meson model and investigate the finite temperature and density behavior of the system, in particular, the axial anomaly function. Somewhat contrary to earlier expectations we find that it tends to strengthen at finite density. At lower temperatures nucleon density fluctuations can cause a relative difference in the UA(1) axial anomaly of about 20%. This has important consequences on the mesonic spectra, especially on the η − η system, as we observe no drop in the η mass as a function of the baryochemical potential, irrespective of the temperature. Based on the details of chiral symmetry restoration, it is argued that there has to be a competition between underlying QCD effects of the anomaly and fluctuations of the low energy hadronic degrees of freedom, and the fate of the UA(1) coefficient should be decided by taking into account both effects simultaneously.

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Section: Resultsmentioning

confidence: 68%

Mesonic and nucleon fluctuation effects at finite baryon density

Fejős

2017

Phys. Rev. D

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“…Very recently liquid-gas and chiral phase transition are studied in a parity doublet model with a six-point scalar interaction in which mesonic fluctuations are included by means of the functional renormalization group [15]. In this work we study isospin asymmetric dense matter in the framework of the parity doublet model (mirror assignment) [16,17].…”

Section: Introductionmentioning

confidence: 99%

Asymmetric nuclear matter in a parity doublet model with hidden local symmetry

Motohiro¹,

Kim²,

Harada³

2015

Phys. Rev. C

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We construct a model to describe dense hadronic matter at zero and finite temperature, based on the parity doublet model of DeTar and Kunihiro, with including the iso-singlet scalar meson σ as well as ρ and ω mesons. We show that, by including a six-point interaction of σ meson, the model reasonably reproduces the properties of the normal nuclear matter with the chiral invariant nucleon mass m0 in the range from 500 MeV to 900 MeV. Furthermore, we study the phase diagram based on the model, which shows that the value of the chiral condensate drops at the liquid-gas phase transition point and at the chiral phase transition point. We also study asymmetric nuclear matter and find that the first order phase transition for the liquid-gas phase transition disappears in asymmetric matter and that the critical density for the chiral phase transition at non-zero density becomes smaller for larger asymmetry.

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“…Phenomenologically viable spectral functions also require the inclusion of the feedback of the vector mesons themselves as well as baryonic degrees of freedom, both of which have been neglected here. Especially given the fact that our approach allows for the computation of spectral functions also at arbitrarily large chemical potential calls for an extension to include the dynamics of baryons and nuclear-matter effects in a chiral effective theory that is capable of describing both, the liquid-gas transition of nuclear matter and the chiral transition in a unified framework [55]. Several of these issues have been addressed already within the FRG, showing that this method is flexible enough to tackle these ambitious tasks in the future.…”

Section: Discussionmentioning

confidence: 99%

In-medium spectral functions of vector- and axial-vector mesons from the functional renormalization group

et al. 2017

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In this work we present first results on vector and axial-vector meson spectral functions as obtained by applying the non-perturbative functional renormalization group approach to an effective lowenergy theory motivated by the gauged linear sigma model. By using a recently proposed analytic continuation method, we study the in-medium behavior of the spectral functions of the ρ and a1 mesons in different regimes of the phase diagram. In particular, we demonstrate explicitly how these spectral functions degenerate at high temperatures as well as at large chemical potentials, as a consequence of the restoration of chiral symmetry. In addition, we also compute the momentum dependence of the ρ and a1 spectral functions and discuss the various time-like and space-like processes that can occur.

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Chiral mirror-baryon-meson model and nuclear matter beyond mean-field approximation

Cited by 50 publications

References 63 publications

Mesonic and nucleon fluctuation effects at finite baryon density

Mesonic and nucleon fluctuation effects at finite baryon density

Asymmetric nuclear matter in a parity doublet model with hidden local symmetry

In-medium spectral functions of vector- and axial-vector mesons from the functional renormalization group

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