论文标题
标量场在半经典环量子重力中的临界崩溃
Critical collapse of a scalar field in semiclassical loop quantum gravity
论文作者
论文摘要
我们研究了使用环路量子重力预期的半经典方程，研究了无质量标量场的球形对称性崩溃。我们发现质量的临界行为是初始数据的参数的函数，类似于Choptuik在经典一般相对性中针对聚合参数的大量初始数据和值的临界行为。与对量子重力的广泛期望相反，我们的半经典场方程以及经典场方程也具有确切的规模不变性。正如人们所期望的那样，我们从数值上发现相变是二阶，同样是经典案例。
We study the collapse in spherical symmetry of a massless scalar field minimally coupled to gravity using the semiclassical equations that are expected from loop quantum gravity. We find critical behavior of the mass as a function of the parameters of the initial data similar to that found by Choptuik in classical general relativity for a large set of initial data and values of the polymerization parameter. Contrary to wide expectations for quantum gravity, our semiclassical field equations have an exact scale invariance, as do the classical field equations. As one would then expect, we numerically find that the phase transition is second order, again as in the classical case.
