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首页> 外文期刊>Journal of physics, A. Mathematical and theoretical >Phases and approximations of baryonic popcorn in a low-dimensional analogue of holographic QCD
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Phases and approximations of baryonic popcorn in a low-dimensional analogue of holographic QCD

机译：全息QCD低维类似物中重质爆米花的相位和近似

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摘要

The Sakai-Sugimoto model is the most pre-eminent model of holographic QCD, in which baryons correspond to topological solitons in a five-dimensional bulk spacetime. Recently it has been shown that a single soliton in this model can be well approximated by a flat-space self-dual Yang-Mills instanton with a small size, although studies of multi-solitons and solitons at finite density are currently beyond numerical computations. A lower-dimensional analogue of the model has also been studied in which the Sakai-Sugimoto soliton is replaced by a baby Skyrmion in three spacetime dimensions with a warped metric. The lower dimensionality of this model means that full numerical field calculations are possible, and static multi-solitons and solitons at finite density were both investigated, in particular the baryonic popcorn phase transitions at high densities. Here we present and investigate an alternative lower-dimensional analogue of the Sakai-Sugimoto model in which the Sakai-Sugimoto soliton is replaced by an O(3)-sigma model instanton in a warped three-dimensional spacetime stabilized by a massive vector meson. A more detailed range of baryonic popcorn phase transitions are found, and the low-dimensional model is used as a testing ground to check the validity of common approximations made in the full five-dimensional model, namely approximating fields using their flat-space equations of motion, and performing a leading order expansion in the metric.
机译：Sakai-Sugimoto模型是全息QCD的最杰出模型，其中重子对应于五维整体时空中的拓扑孤子。最近，有研究表明，该模型中的单个孤子可以用较小尺寸的平面空间对偶Yang-Mills实例很好地近似，尽管目前对有限密度下的多孤子和孤子的研究还不包括数值计算。还研究了该模型的低维类似物，其中在三个时空维度上使用扭曲度量将Sa界杉本孤子替换为婴儿天敌。该模型的较低维数意味着可以进行完整的数值场计算，并且研究了有限密度下的静态多孤子和孤子，特别是高密度下的重质爆米花相变。在这里，我们介绍并研究了Sakai-Sugimoto模型的替代低维类似物，其中Sakai-Sugimoto孤子被O（3）-sigma模型瞬子代替，在由大量矢量介子稳定的扭曲三维时空中。发现了重粒爆米花相变的更详细范围，并且将低维模型用作测试平台，以检查在完整的五维模型中进行的常见近似的有效性，即使用它们的平面空间方程近似场。运动，并在指标中执行前导订单扩展。

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