论文标题
基本规模不变性
Fundamental Scale Invariance
论文作者
论文摘要
我们提出基本规模的不变性，这是一种超出重质范围的新理论原则。具有基本规模不变性的量子场理论接受了在规模不变磁场方面的功能积分和有效作用的无标度表述。它们对应于功能重归其流动方程的精确缩放溶液。这些理论具有很高的预测性，因为与确切缩放溶液偏差的所有相关参数消失了。逼真的粒子物理和量子重力与此设置兼容。缩放解决方案的非线性限制可以将属性解释为渐近消失的宇宙常数或动态性暗能量，似乎需要从扰动观点对参数进行微调。例如，我们讨论了基于差异不变的杨米尔斯理论的前几何。它是在短距离内用表现良好的重力传播器完成量子重力的候选者。
We propose fundamental scale invariance as a new theoretical principle beyond renormalizability. Quantum field theories with fundamental scale invariance admit a scale-free formulation of the functional integral and effective action in terms of scale invariant fields. They correspond to exact scaling solutions of functional renormalization flow equations. Such theories are highly predictive since all relevant parameters for deviations from the exact scaling solution vanish. Realistic particle physics and quantum gravity are compatible with this setting. The non-linear restrictions for scaling solutions can explain properties as an asymptotically vanishing cosmological constant or dynamical dark energy that would seem to need fine tuning of parameters from a perturbative viewpoint. As an example we discuss a pregeometry based on a diffeomorphism invariant Yang-Mills theory. It is a candidate for an ultraviolet completion of quantum gravity with a well behaved graviton propagator at short distances.
