Dynamical corrections to the anomalous holographic soft-wall model: the pomeron and the odderon

Capossoli, Eduardo Folco; Li, Danning; Boschi-Filho, Henrique

doi:10.1140/epjc/s10052-016-4171-0

Cited by 36 publications

(35 citation statements)

References 50 publications

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“…In bottom-up holographic framework, the soft-wall model [38] provides a good start point to describe both chiral symmetry breaking and linear confinement in the vacuum. In the extended soft-wall models [39][40][41][42][43][44][45][46][47][48][49][50][51], meson spectra consistent with experimental data have been obtained. At finite temperature, it has been shown in [52][53][54][55][56][57][58][59][60][61][62][63][64] that the qualitative properties of phase transition between chiral asymmetric phase and chiral symmetric phase agree very well with the 4D understanding from lattice simulations and model calculations.…”

Section: Soft Wall Model With Finite Isospin Chemical Potentialsupporting

confidence: 58%

“…Compared to hard-wall model, the soft-wall model [38] contains the information of linear confinement as well as chiral symmetry breaking. Its extended models [39][40][41][42][43][44][45][46][47][48][49][50][51] could predict meson spectra in good agreement with experimental data. It is also easy to be extended to finite temperature and give good description of chiral phase transition [52][53][54][55][56][57][58][59][60][61][62][63][64] (see also other bottom-up holographic models [65][66][67][68][69][70]).…”

Section: Introductionmentioning

confidence: 90%

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Pion condensation in a soft-wall AdS/QCD model

2019

J. High Energ. Phys.

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Finite isospin chemical potential µ I and temperature T have been introduced in the framework of soft-wall AdS/QCD model. By self-consistently solve the equation of motion, we obtain the phase boundary of pion condensation phase, across which the system undergoes a phase transition between pion condensation phase and normal phase. Comparing the free energy of solutions with and without pion condensation, we find that the phase transition is of first order type both at large µ I and small µ I . Qualitatively, the behavior at large µ I is in agreement with the lattice simulation in Phys. Rev.D66(2002)034505, while the behavior at small µ I is different from lattice simulations and previous studies in hard wall AdS/QCD model. This indicates that a full back-reaction model including the interaction of gluo-dynamics and chiral dynamics might be necessary to describe the small µ I pion condensation phase. This study could provide certain clues to build a more realistic holographic model.

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Section: Soft Wall Model With Finite Isospin Chemical Potentialsupporting

confidence: 58%

Section: Introductionmentioning

confidence: 90%

Pion condensation in a soft-wall AdS/QCD model

2019

J. High Energ. Phys.

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“…As mentioned in the introduction part, the soft-wall model [73] offers a good start point to describe linear confinement and chiral symmetry breaking, which are the two most important features of low energy QCD. Its extended models [75][76][77][78][79][80][81][82][83][84][85][86][87][88] could describe hadron physics in good agreement with experimental data. The action of soft-wall model takes the form [73]…”

Section: Chiral Dynamics In Soft-wall Modelsmentioning

confidence: 92%

Critical exponents of finite temperature chiral phase transition in soft-wall AdS/QCD models

Chen

Huang

et al. 2019

J. High Energ. Phys.

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Criticality of chiral phase transition at finite temperature is investigated in a soft-wall AdS/QCD model with SU L (N f ) × SU R (N f ) symmetry, especially for N f = 2, 3 and N f = 2 + 1. It is shown that in quark mass plane(m u/d − m s ) chiral phase transition is second order at a certain critical line, by which the whole plane is divided into first order and crossover regions. The critical exponents β and δ, describing critical behavior of chiral condensate along temperature axis and light quark mass axis, are extracted both numerically and analytically. The model gives the critical exponents of the values β = 1 2 , δ = 3 and β = 1 3 , δ = 3 for N f = 2 and N f = 3 respectively. For N f = 2 + 1, in small strange quark mass(m s ) region, the phase transitions for strange quark and u/d quarks are strongly coupled, and the critical exponents are β = 1 3 , δ = 3; when m s is larger than m s,t = 0.290GeV, the dynamics of light flavors(u, d) and strange quarks decoupled and the critical exponents forūu anddd becomes β = 1 2 , δ = 3, exactly the same as N f = 2 result and the mean field result of 3D Ising model; between the two segments, there is a tri-critical point at m s,t = 0.290GeV, at which β = 0.250, δ = 4.975. In some sense, the current results is still at mean field level, and we also showed the possibility to go beyond mean field approximation by including the higher power of scalar potential and the temperature dependence of dilaton field, which might be reasonable in a full back-reaction model. The current study might also provide reasonable constraints on constructing a realistic holographic QCD model, which could describe both chiral dynamics and gluedynamics correctly.

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“…Since QCD approximately recovers conformal symmetries, in a high energy regime, then the pure AdS bulk must prevail in the ultraviolet (UV) regime. Mesons families can be emulated in the holographic soft wall AdS/QCD [17,44] and in its extended versions [22,25,45,46], including the dynamical models [29,[47][48][49][50] and scalars and vector mesonic states [51]. The Regge trajectories for excited light-flavor mesons were originally derived in Ref.…”

Section: Soft Wall Ads/qcdmentioning

confidence: 99%

Informational entropic Regge trajectories of meson families in AdS/QCD

Bernardini

Rocha

2018

Phys. Rev. D

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Bulk mesons propagating in chiral and gluon condensates, in a gravity background, are scrutinized in holographic soft wall AdS/QCD models, involving deformed dilatonic backgrounds. The configurational entropy of the a1 axial vector, the ρ vector, and the f0 scalar meson families is then computed. Two types of informational entropic Regge trajectories are then obtained, where the logarithm of the mesons configurational entropy is expressed in terms of both the experimental meson mass spectra and their excitation number as well. Therefore the mass spectra of the next generation of elements in each meson family, besides being predicted as eigenvalues of Schrödinger-like equations, are estimated with better accuracy and discussed.

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Dynamical corrections to the anomalous holographic soft-wall model: the pomeron and the odderon

Cited by 36 publications

References 50 publications

Pion condensation in a soft-wall AdS/QCD model

Pion condensation in a soft-wall AdS/QCD model

Critical exponents of finite temperature chiral phase transition in soft-wall AdS/QCD models

Informational entropic Regge trajectories of meson families in AdS/QCD

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