Scale Fixing by Dimensional Transmutation: Supersymmetric Unified Models and the Renormalization Group
May, 198226 pages
Published in:
- Nucl.Phys.B 211 (1983) 29-54
- Published: 1983
Report number:
- UM-HE-82-19
Citations per year
Abstract: (Elsevier)
We show how the renormalization group may be used in supersymmetric models to determine the expectation values of fields whose scales are undetermined by the classical potential. We apply this formalism to supersymmetric models of the O'Raifeartaigh type, and in particular, to Witten's model of the gauge hierarchy. We discuss the possibilities for a mass hierarchy and propose a criterion for an aesthetic model, which limits the magnitude of the hierarchies in perturbative unification models. We consider the zero-mass limit of Witten's model and argue that, despite the ground state becoming supersymmetric, the scale of the spontaneous symmetry breakdown of gauge symmetry remains fixed by radiative corrections. These models, after dimensional transmutation, undergo decoupling at smaller scales. In conclusion, we suggest the possibility of a new “weak tumbling” scenario for aesthetically generating mass and possibly gauge hierarchies. We also indicate how our work may be extended to finite temperatures and discuss the implications for cosmology.- SUPERSYMMETRY
- GRAND UNIFIED THEORY: SU(5)
- GAUGE FIELD THEORY: HIERARCHY PROBLEM
- RENORMALIZATION GROUP
- SPONTANEOUS SYMMETRY BREAKING
- RADIATIVE CORRECTION
- FIELD THEORY: MASS GENERATION
- MASS GENERATION: FIELD THEORY
- FIELD THEORY: FINITE TEMPERATURE
- APPROXIMATION: EFFECTIVE POTENTIAL
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