Renormalization group constraints on unified gauge theories

II. Yukawa and scalar quartic couplings
  • Michael T. Vaughn
Article
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Abstract

Renormalization group constraints on the behavior of Yukawa and scalar quartic couplings in unified gauge theories are examined. Yukawa couplings are generally asymptotically free whenever the gauge couplings are, but scalar quartic couplings can be asymptotically free only for simple scalar multiplets in large groups with large fermion content. The infrared behavior of Yukawa and scalar quartic couplings implied by the renormalization group equations has interesting and phenomenologically useful consequences: infrared fixed points (or quasifixed points) lead to bounds on masses of fermions and scalars, while scalar quartic couplings can be driven out of the domain of positivity of the classical potential, with possible implications for patterns of symmetry breaking.

Keywords

Field Theory Elementary Particle Quantum Field Theory Symmetry Breaking Renormalization Group 
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Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Michael T. Vaughn
    • 1
  1. 1.Physics DepartmentNortheastern UniversityBostonUSA

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