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arXiv 1109.4665hep-thhep-phnucl-th
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Sakai-Sugimoto模型中重子的长距离性质

Long-distance properties of baryons in the Sakai-Sugimoto model

Aleksey Cherman, Takaaki Ishii

摘要:

我们重新考虑了重子在Sakai-Sugimoto模型中的实现。在这个类似QCD理论的引力对偶理论中,重子表现为孤子解。这些孤子在以前的研究中被近似为平空间瞬子。然而,在这种近似下,已经证明,对于与长程π介子物理学有关的重子电磁形状因子的行为,不能再现某些与模型无关的预言。这使得重子的长程π介子物理学似乎隐藏在引力对偶的(棘手的)α'修正中。本文在不依赖平空间瞬子近似的情况下,研究了Sakai-Sugimoto模型中重子的长程性质。我们得到的解给出了与模型无关的形状因子比的正确结果,这意味着该模型捕获了重子的预期红外性质,而不需要超越α'展开的首阶.

英文摘要:

We reconsider the realization of baryons in the Sakai-Sugimoto model. In this theory, which is the gravity dual of a QCD-like theory, baryons appear as soliton solutions. These solitons were approximated as flat-space instantons in previous studies. However, with this approximation, it has been shown that one does not reproduce some model-independent predictions for the behavior of baryon electromagnetic form factors which are connected with long-range pion physics. This made it appear that the long-range pion physics of baryons may be hidden in (intractable) α' corrections in the gravity dual. In this paper, we study the long-range properties of baryons in the Sakai-Sugimoto model without relying on the flat-space instanton approximation. The solution we obtain gives the correct result for the model-independent 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.

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