Higher derivative quantum gravity with Gauss-Bonnet term

被引:78
作者
de Berredo-Peixoto, G [1 ]
Shapiro, IL [1 ]
机构
[1] Univ Fed Juiz de Fora, Dept Fis ICE, BR-36036330 Juiz De Fora, MG, Brazil
来源
PHYSICAL REVIEW D | 2005年 / 71卷 / 06期
关键词
D O I
10.1103/PhysRevD.71.064005
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Higher derivative theory is one. of the important models of quantum gravity, renormalizable and asymptotically free within the standard perturbative approach. We consider the 4 - epsilon renormalization group for this theory, an approach which proved fruitful in 2 - epsilon models. A consistent formulation in dimension n = 4 - epsilon requires taking quantum effects of the topological term into account, hence we perform a calculation which is more general than the ones done before. In the special n = 4 case we confirm a known result by Fradkin, Tseytlin, Avramidi, and Barvinsky, while contributions from a topological term do cancel. In the more general case of 4 - epsilon renormalization group equations there is an extensive ambiguity related to gauge-fixing dependence. As a result, physical interpretation of these equations is not universal unless we treat epsilon as a small parameter. In the sector of essential couplings one can find a number of new fixed points, but some of them have no analogs in the n = 4 case.
引用
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页码:1 / 16
页数:16
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