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Subregion complexity and confinement–deconfinement transition in a holographic QCD model

机译:全息QCD模型中的次区域复杂度和约束-解除约束过渡

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We study the subregion complexity in a semi-analytical holographic QCD model. Two cases with different warped factor are considered and both can realize confinement–deconfinement transition. By studying the behavior of the renormalized holographic complexity densityC?versus the subregion length scale?, we find that for both cases,C?always experiences a discontinuity at certain critical value?cin confinement phases, while it is always continuous in deconfinement phases. This property may be seen as a signal to characterize confinement or deconfinement phases. The behavior ofC?versus the temperature and chemical potential is also investigated and our results show thatC?exhibits behavior characterizing the type of the transition. That is, it experiences a discontinuity at the transition temperature forμ<μcwhere first-order confinement–deconfinement phase transition happens, while it is always continuous forμ>μcwhere the transition turns into a turnover. These results imply that the renormalized holographic complexity density may be used as a good parameter to characterize the corresponding phase structures.
机译:我们在半解析全息QCD模型中研究了子区域的复杂性。考虑了两种具有不同翘曲因子的情况,并且两种情况都可以实现限制-解除限制过渡。通过研究重新归一化的全息复杂度密度C相对于子区域长度尺度的行为,我们发现对于这两种情况,C总是在某些临界值(约束阶段)经历不连续性,而在限制阶段则总是连续的。此属性可能被视为表征限制或解除限制阶段的信号。还研究了C相对于温度和化学势的行为,我们的结果表明C表现出表征过渡类型的行为。就是说,在μ<μc时,它在转变温度处经历了一个不连续性,在其中发生一阶约束-解除约束相变;而当μ>μc时,它在转变成周转时始终是连续的。这些结果表明,重新标准化的全息复杂度密度可以用作表征相应相结构的良好参数。

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