论文标题
Barbero-immirzi参数：环路量子重力的神秘参数
The Barbero-Immirzi Parameter: An Enigmatic Parameter of Loop Quantum Gravity
论文作者
论文摘要
Barbero-immirzi参数（$γ$）是在循环量子重力（LQG）中引入的，其物理意义仍然是最大的开放问题；由于其深刻的特征。在某些情况下，它是真实价值的；而在其他情况下，它是复杂的值。该参数在用非紧凑型组$ so（3,1）$表示与紧凑型旋转组的复杂连接形式的lorentz连接的过程中出现。最初，它出现在Ashtekar变量中。费尔南多·巴贝罗（Fernando Barbero）提议将其包括在形式主义中。它的现值是通过在循环量子重力中计数的微状态来固定的，并与斯蒂芬·霍金（Stephen Hawking）计算的半古典黑洞熵匹配。该参数用于计算普朗克单元中面积量子的大小。直到发现LQG区域操作员的频谱；它的意义仍然未知。但是，其完全的身体意义尚待探索。在本文中，对LQG的Barbero-immirzi参数介绍，该研究领域的时间表，就其物理意义提供了各种建议。
The Barbero-Immirzi parameter ($γ$) is introduced in loop quantum gravity (LQG) whose physical significance is still a biggest open question; because of its profound traits. In some cases, it is real-valued; while, it is complex-valued in other cases. This parameter emerges out in the process of denoting a Lorentz connection with non compact group $SO(3,1)$ in the form of a complex connection with values in a compact group of rotations, either $SO(3)$ or $SU(2)$. Initially, it was appeared in the Ashtekar variables. Fernando Barbero proposed its possibility to include within formalism. Its present value is fixed by counting of micro states in loop quantum gravity and matching with the semi classical black hole entropy computed by Stephen Hawking. This parameter is used to count the size of the quantum of area in Planck units. Until, the discovery of the spectrum of the area operator in LQG; its significance remains unknown. However, its complete physical significance is yet to be explored. In the present article, an introduction to the Barbero-Immirzi parameter in LQG, time line of this research area, various proposals regarding its physical significance are given.
