Vector susceptibility and QCD phase transition in AdS/QCD models

Jo, Kwanghyun; Kim, Youngman; Lee, Hyun Kyu; Sin, Sang-Jin

doi:10.1088/1126-6708/2008/11/040

Cited by 14 publications

(5 citation statements)

References 45 publications

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“…In QCD, the response of the system to a change in the chemical potential is measured through the quark number susceptibility χ, and it was investigated in holographic QCD models in Refs. [45,[58][59][60][61][62] (see also references therein). Once we have solved the differential equations in the hydrodynamic limit and obtained the retarded Green's functions we may now calculate the quark number susceptibility following the procedure implemented in Refs.…”

Section: Quark Number Susceptibilitymentioning

confidence: 99%

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Melting of heavy vector mesons and quasinormal modes in a finite density plasma from holography

Mamani,

Hou,

Braga

2022

Preprint

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In this work, we investigate the melting of charmonium states within a holographic QCD model in the context of Einstein-Maxwell-Dilaton (EMD) theory. In the dual field theory, the model describes the heavy mesons inside a finite temperature and density medium. First, we calculate the spectrum at zero temperature. Then, at finite temperature, we obtain the spectral functions, where the heavy vector meson are represented by peaks. We show that the charmonium melts down at temperatures above the confinement/deconfinement temperature of the quark-gluon plasma. We also observe that the chemical potential speeds up the melting process. This finding is in agreement with results previously reported in the literature. In the gravitational side of the theory we solve the perturbation equations in the hydrodynamics limit. From this result we read off the diffusion coefficient by comparing the dispersion relation against the corresponding result obtained in the dual field theory. We also investigate the behavior of the diffusion coefficient as a function of the temperature. The perturbation equations are solved numerically, in order to get the quasinormal frequencies. We report the emergence of a new mode whose real part increases rapidly at a certain value of the chemical potential while its imaginary part decreases with the increasing of the chemical potential. Finally, by comparing against results obtained in the conformal plasma, we observe that the real part of the frequency increases, while the imaginary part decreases when we consider the non-conformal plasma.

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Section: Quark Number Susceptibilitymentioning

confidence: 99%

“…This result is in agreement with the result found in the literature, see for instance Refs. [58,60,61], where the quark number susceptibility goes like χ ∼ T 2 . Let us plot Eqs.…”

Section: Quark Number Susceptibilitymentioning

confidence: 99%

Melting of heavy vector mesons and quasinormal modes in a finite density plasma from holography

Mamani,

Hou,

Braga

2022

Preprint

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“…It is obvious that this calculation depends on the rainbow-ladder approximation of the DSEs approach. In the literature, there are few theoretical studies related to the vector and axial-vector vacuum susceptibilities, among them, L. S. Kisslinger determined them using a three-point formalism within the method of QCD sum rules [15], M. Harada et al discussed the effective degrees of freedom at chiral restoration and the vector manifestation in hidden local symmetry theory [125], and K. Jo et al calculated vector susceptibility and QCD phase transition in anti-de Sitter (AdS)/QCD models [126]. In the following, we will show how the authors of Ref.…”

Section: The Vector and Axial-vector Vacuum Susceptibilitiesmentioning

confidence: 99%

Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD

et al. 2015

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The QCD vacuum condensates and various vacuum susceptibilities are all important parameters which characterize the nonperturbative properties of the QCD vacuum. In the QCD sum rules external field formula, various QCD vacuum susceptibilities play important roles in determining the properties of hadrons. In this paper, we review the recent progress in studies of vacuum susceptibilities together with their applications to the chiral phase transition of QCD. The results of the tensor, the vector, the axial-vector, the scalar, and the pseudo-scalar vacuum susceptibilities are shown in detail in the framework of Dyson-Schwinger equations.

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“…;0Þ ¼ À!ð!Þ q ðTÞ: (13) Using (13) in (4), it is straightforward to obtain the temporal correlation function as G 00 ðTÞ ¼ ÀT q ðTÞ; (14) which is proportional to the QNS q and T, but independent of . The QNS has been calculated within the framework of lattice gauge theory [23][24][25][26][27][28][29][30], perturbative QCD [31], the Nambu-Jona-Lasinio model [22,32], the Polyakov-Nambu-Jona-Lasinio model [33], AdS/CFT correspondence and holographic QCD [34], the renormalization group approach [35], two loop approximately selfconsistent È-derivable HTL resummation [36], and HTLpt [10,12,37]. We note that in a resummed perturbation theory [11,38], the higher-order loops contribute to the lower order due to the fact that the loop expansion and the coupling expansion are not symmetric.…”

Section: Quark Number Susceptibility (Qns) and Temporal Euclideamentioning

confidence: 99%

Conserved density fluctuation and temporal correlation function in hard thermal loop perturbation theory

2011

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Considering recently developed hard thermal loop perturbation theory that takes into account the effect of the variation of the external field through the fluctuations of a conserved quantity we calculate the temporal component of the Euclidean correlation function in the vector channel. The results are found to be in good agreement with the very recent results obtained within the quenched approximation of QCD and small values of the quark mass ($ 0:1T) on improved lattices of size 128 3 Â N at (N ¼ 40,where N is the temporal extent of the lattice. This suggests that the results from lattice QCD and hard thermal loop perturbation theory are in close proximity for a quantity associated with the conserved density fluctuation.

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Vector susceptibility and QCD phase transition in AdS/QCD models

Cited by 14 publications

References 45 publications

Melting of heavy vector mesons and quasinormal modes in a finite density plasma from holography

Melting of heavy vector mesons and quasinormal modes in a finite density plasma from holography

Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD

Conserved density fluctuation and temporal correlation function in hard thermal loop perturbation theory

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