Gauge dependence of the effective average action in Einstein gravity

被引:56
作者
Falkenberg, S
Odintsov, SD
机构
[1] Univ Leipzig, Inst Theoret Phys, D-04109 Leipzig, Germany
[2] Univ Valle, Dept Fis, Cali, Colombia
[3] Hiroshima Univ, Dept Phys, Higashihiroshima 724, Japan
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 1998年 / 13卷 / 04期
关键词
D O I
10.1142/S0217751X98000263
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
We study the gauge dependence of the effective average action Gamma(k) and Newtonian gravitational constant using the RG equation for Gamma(k). Then we truncate the space of action functionals to get a solution of this equation. We solve the truncated evolution equation for the Einstein gravity in the De Sitter background for a general gauge parameter alpha and obtain a system of equations for the cosmological and Newtonian constants. Analyzing the running of the gravitational constant we find that the Newtonian constant depends strongly on the gauge parameter. This leads to the appearance of antiscreening and screening behavior of the quantum gravity. The resolution of the gauge dependence problem is suggested. For physical gauges like the Landau-DeWitt gauge the Newtonian constant shows an antiscreening.
引用
收藏
页码:607 / 623
页数:17
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