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arXiv 1102.0554hep-th
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N=2* Yang-Mills理论中基本物质的动力学

Dynamics of Fundamental Matter in N=2* Yang-Mills Theory

Tameem Albash, Clifford V. Johnson

备注：
24 pages, 8 figures. Corrected typos, added comment about counterterm. To appear in JHEP
发表信息：
JHEP 1104:012,2011
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摘要：

研究了零温下$\mathcal{N}=2^\ast$超对称大$N$ SU（N）Yang-Mills理论中淬灭基本物质的动力学.我们的研究工具是全息对偶$\mathcal{N}=2^\ast$ Pilch-Warner引力背景下的探测D 7-膜。以前使用这种几何的D3膜探测器的工作表明，它捕获了规范理论库仑分支模空间的一个特殊切片的物理学，其中组成D3膜的$N$形成了一个密集的一维轨迹，称为增强子，位于红外线深处。我们目前的工作表明，这个物理是如何补充的动力学的味道，揭示了我们发现的D 7-膜嵌入的物理。皮尔希-华纳背景在D 7-膜自由能中引入了新的发散，我们可以用一个反项来消除它。我们在几何中找到了一族D 7-膜嵌入，并讨论了它们的性质。我们研究的夸克凝聚，组分夸克质量的物理，介子光谱的一部分。值得注意的是，有一个特殊的零质量嵌入终止于增强子上，这表明虽然几何对D 7-膜的作用是排斥的，但它并没有以产生自发手征对称性破缺的方式这样做。

英文摘要：

We study the dynamics of quenched fundamental matter in $\mathcal{N}=2^\ast$ supersymmetric large $N$ SU(N) Yang-Mills theory at zero temperature. Our tools for this study are probe D7-branes in the holographically dual $\mathcal{N}=2^\ast$ Pilch-Warner gravitational background. Previous work using D3-brane probes of this geometry has shown that it captures the physics of a special slice of the Coulomb branch moduli space of the gauge theory, where the $N$ constituent D3-branes form a dense one dimensional locus known as the enhancon, located deep in the infrared. Our present work shows how this physics is supplemented by the physics of dynamical flavours, revealed by the D7-branes embeddings we find. The Pilch-Warner background introduces new divergences into the D7-branes free energy, which we are able to remove with a single counterterm. We find a family of D7-brane embeddings in the geometry and discuss their properties. We study the physics of the quark condensate, constituent quark mass, and part of the meson spectrum. Notably, there is a special zero mass embedding that ends on the enhancon, which shows that while the geometry acts repulsively on the D7-branes, it does not do so in a way that produces spontaneous chiral symmetry breaking.

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