论文标题

共形重力量化简介

Introduction to Quantization of Conformal Gravity

论文作者

Rachwał, Lesław

论文摘要

提出了一种以非常可控制的方式量化保形重力对称对称性的方法。首先,我们在重力相互作用的框架中讨论了局部保形对称性,在其中我们将其视为通用仪表理论的一个例子。我们还提出了一些早期尝试量化保形重力的尝试,并使用Faddeev和Popov引起的协变量量化框架。还研究了一些突出的问题,例如需要结合量规固定的问题,同条第三个鬼魂的问题以及保形引力的不连续性。最后,我们对原始的临时计算方法提供了一些解释,该方法在第一个量子回路水平上有效。

A method for consistent quantization of conformal gravity treating conformal symmetry in a very controllable way is presented. First, we discuss local conformal symmetry in the framework of gravitational interactions, where we view it as an example of a general gauge theory. We also present some early attempts at quantization of conformal gravity and use the generalized framework of covariant quantization due to Faddeev and Popov. Some salient issues such as the need for conformal gauge-fixing, an issue with conformal third ghosts, and discontinuities in conformal gravity are studied as well. Finally, we provide some explanations of the original ad hoc methods of computation valid at the first quantum loop level in conformal gravity.

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