2-LOOP RENORMALIZATION IN QUANTUM-GRAVITY NEAR 2 DIMENSIONS

被引:38
作者
AIDA, T
KITAZAWA, Y
NISHIMURA, J
TSUCHIYA, A
机构
[1] NATL LAB HIGH ENERGY PHYS,TSUKUBA,IBARAKI 305,JAPAN
[2] UNIV TOKYO,INST PHYS,MEGURO KU,TOKYO 153,JAPAN
关键词
D O I
10.1016/0550-3213(95)00071-Y
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We study two-loop renormalization in (2 + epsilon)-dimensional quantum gravity. As a first step towards the full calculation, we concentrate on the divergences which are proportional to the number of matter fields. We calculate the beta functions and show how the nonlocal divergences as well as the infrared divergences cancel among the diagrams. Although the formalism includes a subtlety concerning the general covariance due to the dynamics of the conformal mode, we find that the renormalization group allows the existence of a fixed point which possesses the general covariance. Our results strongly suggest that we can construct a consistent theory of quantum gravity by the epsilon expansion around two dimensions.
引用
收藏
页码:353 / 380
页数:28
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