量子威尔逊圈首项的引力场激发

Gravitational field excitation from the first term of quantum Wilson loop

在四维R引力场中,采用时空联络展式的线性和扩展表示的平方项,计算出引力场激发的曲率,这是由量子威尔逊圈通过两点联系格林函数给出的。同时以引力三维传播子对〈w〉的最低级校正(k4)和引力场自能计算的结果为基础,在精确的k4级条件下,能得到来自于〈w〉的〈w(2)〉首项激发的完整表达式。

In 4-dimensional R-gravity, using the linear and square terms of the expanding expression of the space-time connection, we calculated the possible curvature excitation （order k^4） of gravitational field which is given by the first term of quantum Wilson loop （ω） through two-point Green＇s function of the connection. At the same time using the tree diagram propagators of gravitons, the lowest order （k^4） correction to （ω） is also calculated through the graviton self-energy in the term. Under the accuracy condition up to order k^4 , we have obtained a complete expression of the excitation contributed from the leading term （ω^（2） ）of（ω）.