4-导数引力的量子化及其重整化

数学物理学报 ›› 1997, Vol. 17 ›› Issue (4): 364-374.

4-导数引力的量子化及其重整化

邵常贵, 陈中秋, 陈贻汉

湖北大学物理系武汉 430062

收稿日期:1995-05-25 修回日期:1995-11-17 出版日期:1997-08-26 发布日期:1997-08-26

Quantization and Renormalization of 4-Derivative Gravity

Shao Changgui, Chen Zhongqiu, Chen Yihan

Hubei University

Received:1995-05-25 Revised:1995-11-17 Online:1997-08-26 Published:1997-08-26

摘要/Abstract

摘要： 该文求得了4-导数引力的场方程,用带导数算子且带权的规范固定计算出了引力子自由与三顶角等树图传播子,用带4动量的引力三项角求出了鬼外线和引力外线二类圈图的发散度.如上作法及结果与已有文献不同.通过对各种圈图发散的分析,指出一些文献用解通常重整化方程的方法得以消除发散的抵消项,是需要进一步研究的.

关键词: 4-导数引力场方程, 量子化, 重整化

Abstract: Field equations, tree dlagram propagators and divergence degrees of loops,for 4-derivative gravity, are calculated. It is pointed out that the use of usual method for solving renormalization equation to obtain the counter-terms to cancel out divergences, used in renorrmalization scheme of higher-derivative quantum gravity. has need for clarification.

Key words: Field equations of 4-derivative gravity, Quantization, Renormalization

邵常贵, 陈中秋, 陈贻汉. 4-导数引力的量子化及其重整化[J]. 数学物理学报, 1997, 17(4): 364-374.

Shao Changgui, Chen Zhongqiu, Chen Yihan. Quantization and Renormalization of 4-Derivative Gravity[J]. Acta mathematica scientia,Series A, 1997, 17(4): 364-374.

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