Renormalizability of gauge theories in extra dimensions

被引：82

作者：

Gies, H ^{[1
]}

机构：

[1] CERN, Div Theory, CH-1211 Geneva 23, Switzerland

[2] Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany

来源：

PHYSICAL REVIEW D | 2003年 / 68卷 / 08期

关键词：

D O I：

10.1103/PhysRevD.68.085015

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We analyze the possibility of nonperturbative renormalizability of gauge theories in D>4 dimensions. We develop a scenario, based on Weinberg's idea of asymptotic safety, that allows for renormalizability in extra dimensions owing to a non-Gaussian ultraviolet stable fixed point. Our scenario predicts a critical dimension D-cr beyond which the UV fixed point vanishes, such that renormalizability is possible for Dless than or equal toD(cr). Within the framework of exact renormalization group equations, the critical dimension for various SU(N) gauge theories can be computed to lie near five dimensions: 5less than or similar toD(cr)<6. Therefore, our results exclude nonperturbative renormalizability of gauge theories in D=6 and higher dimensions.

引用

页数：9

共 51 条

[1] SU(5) grand unification in extra dimensions and proton decay [J].