Fine Tuning Problem and the Renormalization Group

Feb, 1983
8 pages
Published in:
  • Phys.Lett.B 140 (1984) 215-222
  • Published: 1984
Report number:
  • CERN-TH-3528

Citations per year

1985199520052015202402468
Abstract: (Elsevier)
We describe the renormalization group evolution of the scalar mass term in unified theories. There is no fine-tuning problem in renormalization group improved perturbation theory for scalar fields if an appropriate set of short distance parameters is used. The gauge hierarchy problem has two possible issues: it may either be solved by the renormalization group approach itself with a strong scale dependence of the scalar mass, or it is reduced to the question “why is the mass of the scalar doublet normalized at the Planck scale much smaller than the Planck mass?” In the second case, a possible solution of the gauge hierarchy problem refers to a unification with gravity.
  • RENORMALIZATION GROUP
  • PERTURBATION THEORY
  • GAUGE FIELD THEORY: HIERARCHY PROBLEM
  • GRAND UNIFIED THEORY
  • FIELD THEORY: SCALAR
  • FIELD THEORY: CRITICAL PHENOMENA
  • SPONTANEOUS SYMMETRY BREAKING
  • Kaluza-Klein model