曲率平方action的正则量子化形式
A Canonical Quantization formalism of curvature squared action
摘要：
利用二次拉格朗日形式对广义爱因斯坦作用量进行了量子力学处理。利用辅助变量定义广义动量，得到了该作用量的正则量子化。表面项被定义为宇宙学常数，并受到物理约束。我们可以得到大家熟悉的惠勒-德威特方程。该方程的解符合广义相对论，而且由于它给出了时间衰减的宇宙学常数，在早期宇宙中没有广义相对论的挫折。宇宙的波函数和宇宙标度因子都是复量，表明存在量子效应.计算了2.7k时的CBR温度.
英文摘要：
The generalized Einstein action is treated quantum mechanically by using a quadratic lagrangian form. The canonical quantization of this action is obtained by using the auxiliary variable to define the generalized momentum. Physical constraints are imposed on the surface term, which is defined to be the cosmological constant. One obtains the familiar Wheeler-de Witt equation. The solution of this equation is in conformity with General Relativity (GR) .In addition to the fact that it is free from GR setbacks at the early universe, since it gives time decaying cosmological constant. The wave function of the universe and the cosmic scale factor are complex quantities, which indicates the existance of quantum effects.2.7k, CBR temperature is calculated.
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