CAJ | 학술논문

圈量子宇宙学中哈密顿约束的量子化有一定的任意性，因此需要检验圈量子宇宙学的一些重要性质，如量子反弹、有效描述等，是否与这种量子化任意性有关。文章考虑了引力联络的场强的量子化中产生的一种典型的任意性，构造了一个可供选择的哈密顿约束算符，并通过半经典分析证明了该算符有正确的经典极限，进而得到了含高阶量子修正的有效哈密顿约束。在这个与无质量标量场耦合的空间平坦的Friedmann宇宙学模型的有效理论中，经典大爆炸奇点被量子反弹所取代，并且量子引力效应极有可能使膨胀的宇宙塌缩回来。可见圈量子宇宙学的上述重要性质与这种量子化任意性无关。
권양자우주학중합밀돈약속적양자화유일정적임의성，인차수요검험권양자우주학적일사중요성질，여양자반탄、유효묘술등，시부여저충양자화임의성유관。문장고필료인력련락적장강적양자화중산생적일충전형적임의성，구조료일개가공선택적합밀돈약속산부，병통과반경전분석증명료해산부유정학적경전겁한，진이득도료함고계양자수정적유효합밀돈약속。재저개여무질량표량장우합적공간평탄적Friedmann우주학모형적유효이론중，경전대폭작기점피양자반탄소취대，병차양자인력효응겁유가능사팽창적우주탑축회래。가견권양자우주학적상술중요성질여저충양자화임의성무관。
Loop quantum cosmology in the Hamiltonian constraint quantization has certain arbitrariness, therefore need to test some important properties of loop quantum cosmology, Such as quantum rebound, effective description, and whether this quantization arbitrary related. In this paper we consider the gravity contact intensity quantization of a typical arbitrariness, constructed a choice of Hamiltonian constraint operator, and through the semiclassical analysis proves that this operator has the correct classical limit, then obtained the high order quantum modified effective Hamiltonian constraint. In the mass less scalar field coupled spatial flat Friedmann cosmology model is effective in the classical theory, the big bang singularity was replaced by quantum rebound, and quantum gravity effects are likely to make the expansion of the universe is collapsing. The important properties of visible ring quantum cosmology was independent the quantized random.