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arXiv 0710.0334hep-thhep-phnucl-th
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由有限重子或同位旋密度谱函数得到的全息矢量介子

Holographic vector mesons from spectral functions at finite baryon or isospin density

Johanna Erdmenger, Matthias Kaminski, Felix Rust

摘要:

我们考虑规范/重力对偶与味道的有限温度场论对偶的AdS-史瓦西黑洞背景嵌入D 7膜探针。特别是,我们调查的谱函数在有限的重子密度在黑洞阶段。我们确定对应于介子质量峰的共振频率作为夸克质量与温度比的函数。我们发现,这些频率有一个最小值的夸克质量的有限值。如果夸克质量和温度的商进一步增加,峰移动到更大的频率。与此同时,峰变窄,这与几乎稳定的矢量介子态的形成一致,矢量介子态精确地再现了在零温度下发现的介子质谱。我们还计算了扩散系数,这对所有夸克的质量温度比有有限的值,并表现出一级相变。最后,我们考虑了一个同位旋化学势,发现谱函数显示出共振峰分裂,类似于有效QCD模型中观察到的同位旋介子质量分裂。

英文摘要:

We consider gauge/gravity duality with flavor for the finite-temperature field theory dual of the AdS-Schwarzschild black hole background with embedded D7-brane probes. In particular, we investigate spectral functions at finite baryon density in the black hole phase. We determine the resonance frequencies corresponding to meson-mass peaks as function of the quark mass over temperature ratio. We find that these frequencies have a minimum for a finite value of the quark mass. If the quotient of quark mass and temperature is increased further, the peaks move to larger frequencies. At the same time the peaks narrow, in agreement with the formation of nearly stable vector meson states which exactly reproduce the meson mass spectrum found at zero temperature. We also calculate the diffusion coefficient, which has finite value for all quark mass to temperature ratios, and exhibits a first-order phase transition. Finally we consider an isospin chemical potential and find that the spectral functions display a resonance peak splitting, similar to the isospin meson mass splitting observed in effective QCD models.

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