Holographic heavy quark symmetry

Hashimoto, Koji; Ogawa, Noriaki; Yamaguchi, Yasuhiro

doi:10.1007/jhep06(2015)040

Cited by 13 publications

(4 citation statements)

References 65 publications

(103 reference statements)

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“…In that scenario, it should be possible, in particular, to describe the nonrelativistic limit of heavy quarks where a spin-flavor symmetry emerges [28]. Although there have been some interesting top-down [47][48][49]51] and bottom-up [50,52] proposals, a realistic model for heavy-heavy mesons remains a challenge in holographic QCD.…”

Section: Discussionmentioning

confidence: 99%

Strong couplings and form factors of charmed mesons in holographic QCD

2017

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We extend the two-flavor hard-wall holographic model of Erlich, Katz, Son and Stephanov [Phys. Rev. Lett. 95, 261602 (2005)] to four flavors to incorporate strange and charm quarks. The model incorporates chiral and flavor symmetry breaking and provides a reasonable description of masses and weak decay constants of a variety of scalar, pseudoscalar, vector and axial-vector strange and charmed mesons. In particular, we examine flavor symmetry breaking in the strong couplings of the ρ meson to the charmed D and D * mesons. We also compute electromagnetic form factors of the π, ρ, K, K * , D and D * mesons. We compare our results for the D and D * mesons with lattice QCD data and other nonperturbative approaches.

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Section: Discussionmentioning

confidence: 99%

Strong couplings and form factors of charmed mesons in holographic QCD

2017

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“…These fields are always named as "bi-local", however we will approximate them near the light flavor branes by local vector fields hence they are described by the standard DBI action. So this construction is distinct from the approaches presented in [66,67,68,69,70,71,72].…”

Section: Yang-mills and Chern-simons Action Of The Flavor Branesmentioning

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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“…These fields are always mentioned as "bi-local fields", however we are going to approximate them by the local vector fields near the worldvolume of the L-branes so that their dynamics could be described by the DBI action. Hence this construction is distinct from the approaches in [74,75,76,77,78,79,80].…”

Section: The Effective Heavy-light Actionmentioning

confidence: 99%

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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Holographic heavy quark symmetry

Cited by 13 publications

References 65 publications

Strong couplings and form factors of charmed mesons in holographic QCD

Strong couplings and form factors of charmed mesons in holographic QCD

Holographic heavy baryons 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

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