EFFECTIVE POTENTIAL FOR SPONTANEOUSLY BROKEN GAUGE-THEORIES AND GAUGE HIERARCHIES

被引:12
作者
HAGIWARA, T
OVRUT, B
机构
[1] Department of Physics, Brandeis University, Waltham
来源
PHYSICAL REVIEW D | 1979年 / 20卷 / 08期
关键词
D O I
10.1103/PhysRevD.20.1988
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The Appelquist-Carazzone effective-field-theory method, where one uses effective light-field coupling constants dependent on the heavy-field sector, is explicitly shown to be valid for the discussion of the gauge-hierarchy problem in grand unified gauge models. Using the method of functionals we derive an expression for the one-loop approximation to the scalar-field effective potential for spontaneously broken theories in an arbitrary R-gauge. We argue that this potential generates, through its derivatives, valid zero-momentum, one-particle-irreducible vertices for any value of (not just the Landau gauge). The equation that the one-loop vacuum correction must satisfy is presented, and we solve this equation for a number of spontaneously broken theories including gauge theories with gauge groups U(1) and SO(3). We find that a one-loop vacuum shift in a massless, non-Goldstone direction occurs via the Coleman-Weinberg mechanism with an effective coupling constant dependent on the heavy-field sector. © 1979 The American Physical Society.
引用
收藏
页码:1988 / 2005
页数:18
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