Three-body force for baryons from the D0-D4/D8 brane matrix model

Li, Si-wen; Jia, Tuo

doi:10.1103/physrevd.93.065051

Cited by 9 publications

(14 citation statements)

References 39 publications

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“…no D0-branes, and the spectrum would become complex if b > 3. Accordingly, it concludes that baryon can not stably exist if the glue condensate is sufficiently large, which is in agreement with the previous studies of this model [54,55,56,62].…”

Section: Summary and Discussionsupporting

confidence: 92%

“…With the approach presented in [48,70], the baryon spectrum with two flavors in this system has been studied in [54,55,56,58,59]. Therefore it would be natural to extend the analysis into the three-flavor case (i.e.…”

Section: D-brane Setupmentioning

confidence: 99%

“…D0-D4/D8 brane system) can be reviewed in [52,53] and we can accordingly investigate the properties of the θ dependence in QCD or Yang-Mills theory holographically e.g. [54,55,56,57] 5 .…”

Section: Introductionmentioning

confidence: 99%

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Holographic three flavor baryon in the Witten–Sakai–Sugimoto model with the D0–D4 background

Cai¹,

Li²

2018

Eur. Phys. J. C

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With the construction of the Witten-SakaiSugimoto model in the D0-D4 background, we systematically investigate the holographic baryon spectrum in the case of three flavors. The background geometry in this model is holographically dual to U (N c ) Yang-Mills theory in large N c limit involving an excited state with a nonzero θ angle or glue condensate TrF ∧ F = 8π 2 N cκ , which is proportional to the charge density of the smeared D0-branes through a parameter b orκ. The classical solution of baryon in this model can be modified by embedding the BelavinPolyakov-Schwarz-Tyupkin instanton and we carry out the quantization of the collective modes with this solution. Then we extend the analysis to include the heavy flavor and find that the heavy meson is always bound in the form of the zero mode of the flavor instanton in strong coupling limit. The mass spectrum of heavy-light baryons in the situation with single-and double-heavy baryon is derived by solving the eigen equation of the quantized collective Hamiltonian. Afterwards we obtain that the constraint of stable baryon states has to be 1 < b < 3 and the difference in the baryon spectrum becomes smaller as the D0 charge increases. It indicates that quarks or mesons can not form stable baryons if the θ angle or glue condensate is sufficiently large. Our work is an extension of the previous study of this model and also agrees with those conclusions.

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Section: Summary and Discussionsupporting

confidence: 92%

Section: D-brane Setupmentioning

confidence: 99%

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Holographic three flavor baryon in the Witten–Sakai–Sugimoto model with the D0–D4 background

Cai¹,

Li²

2018

Eur. Phys. J. C

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“…Thus we use the Witten-Sakai-Sugimoto model in the D0-D4 background (i.e. the D0-D4/D8 system) where D0-brane could be the D-instanton in our investigation since this system is holographically dual to QCD with a Chern-Simons term [24,25,26] (See more details and applications in [27,28,29,30]). In this model, the background geometry is produced by N c coincident D4-branes wrapped on a cycle with N 0 smeared D0-branes inside their worldvolume.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic instability and Schwinger effect in the Witten–Sakai–Sugimoto model with D0–D4 background

Cai¹,

Li²,

Li³

2019

Eur. Phys. J. C

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Using the Witten-Sakai-Sugimoto model in the D0-D4 background, we holographically compute the vacuum decay rate of the Schwinger effect in this model. Our calculation contains the influence of the D0-brane density which could be identified as the θ angle or chiral potential in QCD. Under the strong electromagnetic fields, the instability appears due to the creation of quark-antiquark pairs and the associated decay rate can be obtained by evaluating the imaginary part of the effective Euler-Heisenberg action which is identified as the action of the probe brane with a constant electromagnetic field. In the bubble D0-D4 configuration, we find the decay rate decreases when the θ angle increases since the vacuum becomes heavier in the present of the glue condensate in this system. And the decay rate matches to the result in the black D0-D4 configuration at zero temperature limit according to our calculations. In this sense, the Hawking-Page transition of this model could be consistently interpreted as the confined/deconfined phase transition. Additionally there is another instability from the D0brane itself in this system and we suggest that this instability reflects to the vacuum decay triggered by the θ angle as it is known in the θ-dependent QCD. * whcai@shu.edu.cn †

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“…With the systematical study of the Witten-Sakai-Sugimoto model in the D0-D4 brane background (i.e. D0-D4/D8 brane system) in [48,49], it provides a way to investigate the θ dependence of QCD or Yang-Mills theory holographically [50,51,52,53] 3 .…”

Section: Introductionmentioning

confidence: 99%

Holographic heavy baryons in the Witten-Sakai-Sugimoto model with the D0-D4 background

2017

Phys. Rev. D

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We extend the holographic analysis of light-baryon spectrum in [50] to the case involving the heavy flavors. With the construction of the Witten-Sakai-Sugimoto model in the D0-D4 background, we use the mechanism proposed in [59,60,61] by including two light and one heavy flavor branes, to describe the heavy-light baryons as heavy mesons bound to a flavor instanton. The background geometry of this model corresponds to an excited state in the dual field theory with nonzero glue condensate TrF ∧ F = 8π 2 N cκ , or equivalently a θ angle, which is proportional to the number density of the D0-brane charge. At strongly coupled limit, this model shows that the heavy meson is always bound in the form of the zero mode of the flavor instanton in the fundamental representation. We systematically study the quantization for the effective Lagrangian of heavy-light baryons by employing the soliton picture, and derive the mass spectrum of heavy-light baryons in the situation with singleand double-heavy baryon. We find the difference in the mass spectrum becomes smaller if the density of D0-brane charge increases and the constraint of stable states of the heavylight baryons is 1 < b < 3. It indicates that baryon can not stably exist for sufficiently large density of D0 charge which is in agreement with the conclusions in the previous study of this model.

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Three-body force for baryons from the D0-D4/D8 brane matrix model

Cited by 9 publications

References 39 publications

Holographic three flavor baryon in the Witten–Sakai–Sugimoto model with the D0–D4 background

Holographic three flavor baryon in the Witten–Sakai–Sugimoto model with the D0–D4 background

Electromagnetic instability and Schwinger effect in the Witten–Sakai–Sugimoto model with D0–D4 background

Holographic heavy baryons in the Witten-Sakai-Sugimoto model with the D0-D4 background

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