标题： 带有物质的各向同性环量子宇宙学 显示英文标题

标题： Isotropic Loop Quantum Cosmology with Matter

摘要： 一个自由无质量的标量场耦合到齐次且各向同性的圈量子宇宙学。 在经典奇点附近的区域研究了这个耦合模型，在该区域离散性起着关键作用，并且量子模型是非奇异的；同时也在大体积区域研究了该模型，该区域表现出预期的经典半经典特征。 所选择的具体物质内容（无质量、自由标量）旨在说明离散结构如何调节由物质哈密顿量的动力项引起的病态行为（在标准量子宇宙学中，这些动力项会导致波函数在经典奇点附近出现无穷多次振荡）。 由于小体积行为的这种修改，可以看到圈量子宇宙学的动力初始条件为德维特的初始条件提供了一种有意义的推广。 显示英文摘要

摘要： A free massless scalar field is coupled to homogeneous and isotropic loop quantum cosmology. The coupled model is investigated in the vicinity of the classical singularity, where discreteness is essential and where the quantum model is non-singular, as well as in the regime of large volumes, where it displays the expected semiclassical features. The particular matter content (massless, free scalar) is chosen to illustrate how the discrete structure regulates pathological behavior caused by kinetic terms of matter Hamiltonians (which in standard quantum cosmology lead to wave functions with an infinite number of oscillations near the classical singularity). Due to this modification of the small volume behavior the dynamical initial conditions of loop quantum cosmology are seen to provide a meaningful generalization of DeWitt's initial condition.