论文标题
全息非本地旋转可观察物及其重新规定
Holographic Non-local Rotating Observables and their Renormalization
论文作者
论文摘要
我们分析了与旋转结合状态相对应的全息旋转可观察物。为了重新统治它们的能量和动量,我们建议并讨论由静态非局部可观察物所激发的不同全息重新归一化方案。即全息重归其化和旋转的彩色单重质量减法方案。在全息重新归一化中,我们识别无限的边界项并减去它们。在质量减法方案中,我们评估了与带有颜色的单线相对应的旋转尾线弦的能量,该琴弦经历了拖动现象的颜色,并从结合状态的能量中减去它以获得重新归一化的有限能量。然后,我们将通用框架应用于某些与旋转对称性断裂的强耦合热理论。我们发现与固定尺寸的旋转结合状态相对应的,同时改变其角度频率。通过数字应用重新归一化方案,我们发现有一个临界频率停止或解离。我们还注意到,当理论具有较少的对称性时,结合状态需要较低的角频率才能解离。
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.