GAUGE SYMMETRY HIERARCHIES REVISITED
Oct, 19794 pages
Published in:
- Phys.Lett.B 92 (1980) 111-114
- Published: 1980
Report number:
- WIS-79/36-Ph
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Abstract: (Elsevier)
In a previous paper, I showed that in each order of perturbation theory there is an upper bound on the range of validity of a gauge hierarchy. Thus constructing a large hierarchy requires a fine-tuning of the scalar-field parameters. I stated that the possibility of an inherent bound on the hierarchy exists, but the question of the actual existence of such a bound was left completely open. Since then several authors have addressed this problem. Some of what I asserted was misunderstood, and incorrect conclusions have been drawn from recent computations. It has been claimed that the existence of large hierarchies has been demonstrated. It is the purpose of this paper to refute this claim, to help clarify the situation, and to explain why the status of this problem has in fact not really changed in recent years.- GAUGE FIELD THEORY: O(N)
- SYMMETRY BREAKING
- FIELD THEORY: SCALAR
- APPROXIMATION: TREE
- RADIATIVE CORRECTION
- PERTURBATION THEORY
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