Relativistic correction of the quarkonium melting temperature with a holographic potential

Wu, Yan; Hou, Defu; Ren, Hai-cang

doi:10.1103/physrevc.87.025203

Cited by 7 publications

(4 citation statements)

References 37 publications

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“…By breaking the conformal symmetry in different ways, many efforts have been made towards more realistic holographical description of QCD in non-perturbative region, such as hadron physics [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26] and hot/dense QCD matter [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42], both in top-down approaches…”

Section: Introductionmentioning

confidence: 99%

Chiral phase transition in the soft-wall model of AdS/QCD

Chelabi

Fang

Huang

et al. 2016

J. High Energ. Phys.

104

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Abstract:We investigate the chiral phase transition in the soft-wall model of AdS/QCD at zero chemical potential for two-flavor and three-flavor cases, respectively. We show that there is no spontaneous chiral symmetry breaking in the original soft-wall model. After detailed analysis, we find that in order to realize chiral symmetry breaking and restoration, both profiles for the scalar potential and the dilaton field are essential. The scalar potential determines the possible solution structure of the chiral condensate, except the mass term, it takes another quartic term for the two-flavor case, and for the three-flavor case, one has to take into account an extra cubic term due to the t'Hooft determinant interaction. The profile of the dilaton field reflects the gluodynamics, which is negative at a certain ultraviolet scale and approaches positive quadratic behavior at far infrared region. With this set-up, the spontaneous chiral symmetry breaking in the vacuum and its restoration at finite temperature can be realized perfectly. In the two-flavor case, it gives a second order chiral phase transition in the chiral limit, while the transition turns to be a crossover for any finite quark mass. In the case of three-flavor, the phase transition becomes a first order one in the chiral limit, while above sufficient large quark mass it turns to be a crossover again. This scenario agrees exactly with the current understanding on chiral phase transition from lattice QCD and other effective model studies.

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Section: Introductionmentioning

confidence: 99%

Chiral phase transition in the soft-wall model of AdS/QCD

Chelabi

Fang

Huang

et al. 2016

J. High Energ. Phys.

104

View full text Add to dashboard Cite

show abstract

“…In the framework of holography, by breaking the conformal symmetry of the original AdS/CFT correspondence in different ways, efforts towards realistic holographical description of non-perturbative physics of QCD, such as hadron physics and hot/dense QCD matter [35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52], have been made both in top-down approaches and in bottom-up approaches(see refs. [53][54][55][56][57] for reviews).…”

Section: Introductionmentioning

confidence: 99%

Chiral phase transition of QCD with N f = 2 + 1 flavors from holography

Huang

2017

J. High Energ. Phys.

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Chiral phase transition for three-flavor N f = 2 + 1 QCD with m u = m d = m s is investigated in a modified soft-wall holographic QCD model. Solving temperature dependent chiral condensates from equations of motion of the modified soft-wall model, we extract the quark mass dependence of the order of chiral phase transition in the case of N f = 2 + 1, and the result is in agreement with the "Columbia Plot", which is summarized from lattice simulations and other non-perturbative methods. First order phase transition is observed around the three flavor chiral limit m u/d = 0, m s = 0, while at sufficient large quark masses it turns to be a crossover phase transition. The first order and crossover regions are separated by a second order phase transition line. The second order line is divided into two parts by the m u/d = m s line, and the m s dependence of the transition temperature in these two parts are totally contrast, which might indicate that the two parts are governed by different universality classes.

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“…Actually, one should consider the exact holographic potential, but it has been found in Ref. [5] that the comparison with the dissociation temperature obtained from ( 12) is very close to that from the exact holographic potential. So we stay with the truncated Coulomb potential for the rest of the paper.…”

Section: The Holographic Potential Modelmentioning

confidence: 59%

“…The lattice simulation of the quark-antiquark potential and the spectral density of hadronic correlators yield a consistent picture of quarkonium dissociation as well as the numerical value T d . On the other hand, heavy quarkonium dissociation can be studied within potential models, for instance the energy levels and the dissociation temperature can be carried out with the aid of a non-relativistic Schrodinger equation with a temperature dependent effective potential when we neglect the velocity(v 1) of the constituent quarks [2][3][4], and if we consider the relativistic correction, the two-body Dirac equation can be employed [5]. The holographic potential addressed in this paper is one example of a potential model.…”

Section: Introductionmentioning

confidence: 99%