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RIKENTH141 Holographic Nuclei
, 809
"... Abstract: We provide a dual gravity description of heavy atomic nuclei, via AdS/CFT correspondence. In holographic QCD such as SakaiSugimoto model, baryons are Dbranes wrapping a sphere in 10 dimensional curved spacetime, so a nucleus is a collection of A such Dbranes where A is mass number of th ..."
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Abstract: We provide a dual gravity description of heavy atomic nuclei, via AdS/CFT correspondence. In holographic QCD such as SakaiSugimoto model, baryons are Dbranes wrapping a sphere in 10 dimensional curved spacetime, so a nucleus is a collection of A such Dbranes where A is mass number of the nucleus. Quantum theory on the nucleus is ADHMlike U(A) YangMillsHiggs theory on the sphere. Taking a large A limit (corresponding to heavy nuclei) leads to a dual gravity describing collective excitataions of constituent nucleons of the heavy nucleus. This dual gravity computes spectra of the heavy nucleus, and gives discrete states almost equally spaced, which roughly agrees with experimental nuclear data. Contents 1. From superstring to nuclear theory 1 2. Gauge theory on nucleus 2 3. Large A limit and gravity dual 4 4. AdS/CFT dictionary and nuclear spectrum 7
Comments on Baryons in Holographic QCD
, 2008
"... We generalize the description of baryons as instantons of SakaiSugimoto model to the case where the flavor branes are nonantipodal. The later corresponds to quarks with a “string endpoint mass”. We show that the baryon vertex is located on the flavor branes and hence the generalized baryons also ..."
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We generalize the description of baryons as instantons of SakaiSugimoto model to the case where the flavor branes are nonantipodal. The later corresponds to quarks with a “string endpoint mass”. We show that the baryon vertex is located on the flavor branes and hence the generalized baryons also associate with instantons. We calculate the baryon mass spectra, the isoscalar and axial mean square radii, the isoscalar and isovector magnetic moments and the axial coupling as a function of the mass scale MKK and the location ζ of the tip of Ushaped flavor D8branes. We determine the values of MKK and ζ from a best fit comparison with the experimental data. The later comes out to be in a forbidden region, which may indicate that the incorporation of baryons in SakaiSugimoto model has to be modified. We discuss the analogous baryons in a noncritical gravity model. A brief comment on the single flavor case (Nf = 1) is also made.
Holographic Baryons: Static Properties and Form Factors from Gauge/String Duality
, 2008
"... In this paper, we study properties of baryons by using a holographic dual of QCD on the basis of the D4/D8brane configuration, where baryons are described by a soliton. We first determine the asymptotic behavior of the soliton solution, which allows us to evaluate welldefined currents associated wi ..."
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In this paper, we study properties of baryons by using a holographic dual of QCD on the basis of the D4/D8brane configuration, where baryons are described by a soliton. We first determine the asymptotic behavior of the soliton solution, which allows us to evaluate welldefined currents associated with the U(Nf)L × U(Nf)R chiral symmetry. Using the currents, we compute static quantities of baryons such as charge radii and magnetic moments, and make a quantitative test with experiments. It is emphasized that not only the nucleon but also excited baryons, such as ∆, N(1440), N(1535) etc., can be analyzed systematically in this model. We also investigate the form factors and find that our form factors agree well with the results that are wellestablished empirically. With the form factors, the effective baryonbaryonmeson cubic coupling constants among their infinite towers in the model can be determined. Some physical implications following from these results are discussed.
Instituto de Física, Universidade Federal do Rio Grande do Sul,
, 2004
"... characterization of stable ghost ..."
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Nuclear Force from String Theory
, 2009
"... We compute nuclear force in a holographic model of QCD on the basis of a D4D8 brane configuration in type IIA string theory. Repulsive core of nucleons is quite important in nuclear physics, but its origin has not been wellunderstood in stronglycoupled QCD. We find that string theory via gauge/st ..."
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We compute nuclear force in a holographic model of QCD on the basis of a D4D8 brane configuration in type IIA string theory. Repulsive core of nucleons is quite important in nuclear physics, but its origin has not been wellunderstood in stronglycoupled QCD. We find that string theory via gauge/string duality deduces this repulsive core at short distance between nucleons. Since baryons in the model are realized as solitons given by YangMills instanton configuration on flavor D8branes, ADHM construction of two instantons probes well the nucleon interaction at short scale, which provides the nuclear force quantitatively. We obtain, as well as a tensor force, a central force which is strongly repulsive as suggested in experiments and lattice results. In particular, the nucleonnucleon potential V (r) (as a function of the distance) scales as r −2, which is peculiar to the holographic model. We compare our results with oneboson exchange
Prepared for submission to JHEP Longdistance properties of baryons in the SakaiSugimoto model
"... Abstract: We reconsider the realization of baryons in the SakaiSugimoto model. In this theory, which is the gravity dual of a QCDlike theory, baryons appear as soliton solutions. These solitons were approximated as flatspace instantons in previous studies. However, with this approximation, it has ..."
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Abstract: We reconsider the realization of baryons in the SakaiSugimoto model. In this theory, which is the gravity dual of a QCDlike theory, baryons appear as soliton solutions. These solitons were approximated as flatspace instantons in previous studies. However, with this approximation, it has been shown that one does not reproduce some modelindependent predictions for the behavior of baryon electromagnetic form factors which are connected with longrange pion physics. This made it appear that the longrange pion physics of baryons may be hidden in (intractable) α ′ corrections in the gravity dual. In this paper, we study the longrange properties of baryons in the SakaiSugimoto model without relying on the flatspace instanton approximation. The solution we obtain gives the correct result for the modelindependent ratio of form factors, implying that the model captures the expected infrared properties of baryons without the need to go beyond the leading order in the α ′ expansion. ar X iv