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Dynamical symmetry breaking and the renormalization group
Phys. Rev. D 14, 2081 – Published 15 October, 1976
DOI: https://doi.org/10.1103/PhysRevD.14.2081
Abstract
Renormalization-group techniques are applied to determine under what conditions massless field theories can dynamically generate a mass. The conjecture that infrared-stable field theories cannot generate a mass is verified, and necessary conditions for mass generation at nontrivial fixed points are derived. The Schwinger model in dimensions is studied, and it is shown that dynamical symmetry breaking is very likely unique to , for the Abelian theory. These techniques are used to examine the possible dynamical nature of lepton masses, and several previously studied models exhibiting dynamical symmetry breaking are reexamined using renormalization-group methods.
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