论文标题
评论“在球形对称环量子重力中迈向协方差的量子概念”
Comment on "Towards a quantum notion of covariance in spherically symmetric loop quantum gravity"
论文作者
论文摘要
最近的一篇论文承诺了新的结构，这可能使得在环形量子重力的球形对称模型中实现协方差。这一主张与在过去几年中发现了在同一模型中发现的几个顽固的协方差障碍背道而驰。正如作者在抽象中指出的那样，如果人们考虑了同一作者发表的球形对称重力的仪表变换的一定部分矩形变换的重要特征，则据说可以进行新的进步。以规范的形式，这些仪表转换由超表面变形给出。对技术计算的仔细检查表明，实际上在施工中违反了球形对称的超表面变形。
A recent paper promises new constructions that may make it possible to achieve covariance in spherically symmetric models of loop quantum gravity. This claim is contrary to the discovery of several stubborn obstacles to covariance uncovered in the same models during the last few years. As the authors point out in their abstract, new progress is supposedly possible if one takes into account crucial features of a certain partial Abelianization of the gauge transformations of spherically symmetric gravity, published by the same authors. In canonical form, these gauge transformations are given by hypersurface deformations. A closer inspection of the technical calculations shows that spherically symmetric hypersurface deformations are, in fact, violated in the construction.
