GAUGE HIERARCHY PROBLEM IN GRAND UNIFIED THEORIES.

摘要

In grand unification schemes, several mass scales are to be introduced, with some of them much larger than all the others, to cope wth experimental observations, in which elementary particles of higher masses require higher energy to observe them than elementary particles of lower masses.; There have been controversial arguments in the literature on such hierarchical scale structure, when radiative corrections are taken into account. It has been asserted that the gauge hierarchy depends on the choice of the subtraction point (in the classical field space) of the four-point function at zero external momentum. It also has been asserted that the gauge hierarchy problem whenever it is possible to be maintained in one sector of particles, it also is possible to be maintained in the other sectors. We have studied these two problems in a prototype model, namely an 0(3)-model with two triplets of real scalar Higgs fields. Our analysis shows that, within ordinary perturbation theory, none of these two problems is quite correct.