QCD phase diagram at finite isospin chemical potential and temperature in an IR-improved soft-wall AdS/QCD model

Cao, Xuanmin; Liu, Hui; Li, Danning; Ou, Guanning

doi:10.48550/arxiv.2001.02888

Cited by 3 publications

(8 citation statements)

References 76 publications

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“…Making use of this correspondence many works were done in order to study hot dense QGP [19][20][21][22][23][24], considering finite chemical potentials (or some related topics as for instance, QCD phase transition, chiral symmetry breaking, critical exponents, etc. [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39]) and quantum or thermal fluctuations such as the Brownian motion [40][41][42][43][44][45][46], fluctuation and dissipation [47][48][49][50][51][52][53][54][55], drag forces [56][57][58][59][60], or related topics [61][62][63][64][65][66].…”

Section: Introductionmentioning

confidence: 99%

Fluctuation and dissipation within a deformed holographic model with backreaction

et al. 2021

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In this work we study fluctuations and dissipation of a string in a deformed anti-de Sitter (AdS) space at finite temperature and density. The deformed AdS space is a charged black hole solution of the Einstein-Maxwell-Dilaton action. In this background we take into account the backreaction on the horizon function from an exponential deformation of the AdS space. In this set up, we study the equations of motion of the string from the Nambu-Goto action. The motion of the string endpoint describes holographically the fluctuations and dissipation of a particle moving in a four-dimensional Minkowski space. From this model we compute the admittance and study its behavior against the temperature for some values of the chemical potential. In order to obtain the two-point correlations functions, and the mean square displacement we consider separately the bosonic and fermionic cases with µ < 0 and µ > 0, respectively. From the regularized mean square displacements of the bosonic and fermionic cases we obtain the short and large time approximations. For the short time case we find the usual ballistic regime, and for the long time case we obtain a sub-diffusive regime characteristic of a ultra-slow scaled Brownian motion. Combining the results from the admittance and mean square displacements we also study the fluctuation-dissipation theorem.

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Section: Introductionmentioning

confidence: 99%

Fluctuation and dissipation within a deformed holographic model with backreaction

et al. 2021

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“…Also, mass splitting of mesons are shown in hard wall model. Since those studies focus on finite isospin density only and the mutual effect from temperature is unclear, we extend those studies to finite temperature in soft-wall model and get the T − µ I phase diagram [85,86]. Here, we will also continue our studies and consider the mutual effect of isospin densities and temperature on pion quasiparticles.…”

mentioning

confidence: 90%

“…As mentioned above, both the hard-wall model and soft-wall model provide a good start point to deal with hadronic spectrum and chiral phase transition. Incorporating the global symmetry of QCD, it could be naturally extended to cases with multiple-flavors [67,70,71], finite temperature [61][62][63][64][65][66][67][68][69][70][71], finite baryon number density µ B [61,70], finite isospin number density µ I [85,86],different space-time dimensions [87,88] and so on. Since the soft-wall model could be imposed on the radial excitations and chiral condensate could be self-consistently determined by the equation of motion, the soft wall model provides a better framework to study the relationship of the spectrum and phase transition.…”

Section: Quasipions and Chiral Phase Transition At Finite Temperature...mentioning

confidence: 99%

“…Since one of the main goals of this work is to investigate the relation ship of hadron spectrum and phase transitions, in this section we will focus on the isospin density effect, which provides a possibility to probe another kind of phase transition. [86]. The blue line is the phase boundary between normal chiral symmetry broken(χSB) phase and chiral symmetry restored(χSR) phase.…”

Section: Pion Quasiparticles At Finite Isospin Densitymentioning

confidence: 99%

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Pion quasiparticles and QCD phase transitions at finite temperature and isospin density from holography

Cao,

Liu,

2020

Preprint

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Spectra of pions, which are known as the pseudo-Goldstone bosons of spontaneous chiral symmetry breaking, as well as their relationship with chiral phase transition and pion superfluidity phase transition, have been investigated in the framework of softwall AdS/QCD. In chiral limit, it is proved both numerically and analytically that pions are massless Goldstone bosons even at finite temperature, which was usually considered as an assumption in soft-wall models. Above T c , at which chiral condensate qq vanishes, the spectra of pions and scalar mesons merge together, showing the evidence of the restored chiral symmetry in hadronic spectrum level. Extending to finite quark mass, pion masses increase with quark mass. Further, it is more interesting to observe that the pole masses of pions decrease with temperature below T c , which agrees with the analysis in Phys.Rev. Lett.88(2002)202302. Meanwhile, symmetry restoration above T c could be seen in the spectra of scalar and pseudoscalar mesons. With finite temperature and isospin chemical potential µ I , it is shown that the masses of charged pions would split. The mass of positive charged pion π + decreases almost linearly to zero when µ I grows to µ c I , where pion condensation starts to form. This reveals the Goldstone nature of π + after pion superfluidity transition, which are closely related to the experimental observation.

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“…The results above are obtained in the absence of isospin chemical potential: for the derivation of a phase diagram within a holographic bottom-up model which includes effects of a finite isospin chemical potential see[50].…”

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confidence: 99%

Neutron stars and phase diagram in a hard-wall AdS/QCD model

Bartolini,

Gudnason,

Leutgeb

et al. 2022

Preprint

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We study the phase diagram of (large-N c ) QCD using a simplistic holographic hard-wall model with a dynamical scalar field and a homogeneous Ansatz representing a smeared instanton/baryon density. The resulting phase diagram is qualitatively consistent with expectations, including a mesonic, baryonic, quarkyonic, and quark-gluon plasma phase. As in other holographic models, we also find a baryonic popcorn transition, which appears at large chemical potential as a crossover. We then evaluate the nuclear matter equation of state, which turns out to be rather stiff with a large peaked sound velocity above the conformal limit, construct corresponding neutron stars using the TOV equations, and finally use a full numerical gravity/hydrodynamics computation to extract the gravitational wave signal of neutron star mergers. * lorenzo(at)henu.edu.cn † gudnason(at)henu.edu.cn ‡ josef.leutgeb(at)tuwien.ac.at § anton.rebhan(at)tuwien.ac.at

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QCD phase diagram at finite isospin chemical potential and temperature in an IR-improved soft-wall AdS/QCD model

Cited by 3 publications

References 76 publications

Fluctuation and dissipation within a deformed holographic model with backreaction

Fluctuation and dissipation within a deformed holographic model with backreaction

Pion quasiparticles and QCD phase transitions at finite temperature and isospin density from holography

Neutron stars and phase diagram in a hard-wall AdS/QCD model

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