论文标题

在洛伦兹对称性上的对称性上

On the Lorentz symmetry in conformally reduced Quantum Gravity

论文作者

Gégény, F., Nagy, S., Sailer, K.

论文摘要

通过遵循时间和空间衍生物的演变,可以分别延长构象减少爱因斯坦 - 希尔伯特重力的功能重归其化组处理,以便考虑在进化过程中的洛伦兹对称性。我们在紫外线区域发现了路透社的固定点。结果表明,从高斯固定点开始,洛伦兹对称性在路透固定点附近分解。同样,在对称损坏相中,它在接近临界奇异尺度的红外区域也分解。通过计算异常维度形成动作的动力学项,我们发现了属于曲率的新相关耦合。

The functional renormalization group treatment of the conform reduced Einstein-Hilbert gravity is extended by following the evolution of the time and space derivatives separately, in order to consider the Lorentz symmetry during the evolution. We found the Reuter fixed point in the ultraviolet region. It is shown that starting from the Gaussian fixed point the Lorentz symmetry breaks down in the vicinity of the Reuter fixed point. Similarly, in the symmetry broken phase it also breaks down in the infrared region close to a critical singularity scale. By calculating the anomalous dimension form the kinetic term of the action, we found a new relevant coupling belonging to the curvature.

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