arXiv 2209.048662022-09-11hep-thhep-ph

全息非定域旋转观测量及其重整化

Holographic Non-local Rotating Observables and their Renormalization

Vangelis Giantsos, Dimitrios Giataganas

备注：: 1+28 pages
DOI：: 10.1103/PhysRevD.106.126012

摘要：

我们分析了全息中对应于自旋束缚态的非定域旋转观测量。为了重整化它们的能量和动量，我们提出并讨论了不同的全息重整化方案的静态非局域观测。即全息重整化和旋转色单重态质量减方案。在全息重整化中，我们确定无限边界项并减去它们。在质量减法方案中，我们评估对应于色荷单重态的自旋尾弦的能量，并将其从束缚态的能量中减去，以获得重整化有限能量。然后，我们应用我们的一般框架，某些强耦合的热理论与破缺的旋转对称性。我们找到了对应于自旋束缚态的数值解，其尺寸固定，而角频率变化。通过数值计算重整化方案，我们发现存在一个临界频率，在此频率下束缚态不再存在或离解。我们还注意到，束缚态需要较低的角频率解离时，理论具有较低的对称性。

英文摘要：

We analyse non-local rotating observables in holography corresponding to spinning bound states. To renormalize their energies and momenta we suggest and discuss different holographic renormalization schemes motivated by the static non-local observables. Namely the holographic renormalization and the rotating color singlet mass subtraction scheme. In the holographic renormalization we identify the infinite boundary terms and subtract them. In the mass subtraction scheme we evaluate the energy of a spinning trailing string corresponding to the color charged singlet which experiences dragging phenomena and we subtract it from the energy of the bound state to obtain the renormalized finite energy. Then we apply our generic framework to certain strongly coupled thermal theories with broken rotational symmetry. We find numerical solutions corresponding to spinning bound states with a fixed size while varying their angular frequency. By applying numerically the renormalization schemes, we find that there is a critical frequency where the bound state ceases to exist or dissociates. We also note that bound states require lower angular frequencies to dissociate when the theory has less symmetry.

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