Nontrivial directions for scalar fields

被引：48

作者：

Halpern, K ^{[1
]}

Huang, K ^{[1
]}

机构：

[1] MIT, DEPT PHYS, CAMBRIDGE, MA 02139 USA

来源：

PHYSICAL REVIEW D | 1996年 / 53卷 / 06期

关键词：

D O I：

10.1103/PhysRevD.53.3252

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study the eigenvectors of the renormalization-group matrix for scalar fields at the Gaussian fixed point, and find that there exist ''relevant'' directions in parameter space. They correspond to theories with exponential potentials that are nontrivial and asymptotically free. All other potentials, including polynomial potentials, are ''irrelevant,'' and lead to trivial theories. Away from the Gaussian fixed point, renormalization does not induce derivative couplings, but it generates nonlocal interactions.

引用

页码：3252 / 3259

页数：8

共 22 条

[1]

ABRAMOWITZ M, 1964, HDB MATH FUNCTIONS, P503

[2] SPONTANEOUS CREATION OF ALMOST SCALE-FREE DENSITY PERTURBATIONS IN AN INFLATIONARY UNIVERSE [J].