GAUGE HIERARCHY IN THE PRESENCE OF DISCRETE SYMMETRY

被引:22
作者
MAGG, M [1 ]
SHAFI, Q [1 ]
WETTERICH, C [1 ]
机构
[1] UNIV FREIBURG,D-7800 FREIBURG,FED REP GER
关键词
D O I
10.1016/0370-2693(79)90970-5
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We discuss the gauge hierarchy problem in theories that posses an additional discrete symmetry. As examples, we consider two models based on the gauge groups U(1)L×U(1)Rand SU(2)L×SU(2)R×U(1), with parity transformation as the discrete symmetry. By employing a minimal choice of Higgs multiplets there is no freedom, in the semi-classical approximation, to arrange for an arbitrary hierarchy. Either one has a left-right symmetric phase (no hierarchy) or a totally asymmetric phase (infinite hierarchy). It is shown that radiative corrections, à la Coleman-Weinberg, do not smooth out the transition region separating the two phases. A finite gauge hierarchy is not realized. © 1979.
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页码:227 / 232
页数:6
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