Fermion masses in gauge theories with chiral invariance at short distances

Journal Article · Fri Oct 01 04:00:00 EDT 1976 · Sov. Phys. - JETP (Engl. Transl.); (United States)

OSTI ID:7308136

Ansel'm, A A; D'yakonov, D I

If one imposes chiral invariance at short distances on gauge theories with spontaneous symmetry breaking of the Higgs type one obtains a natural mechanism for the appearance of two classes of fermion masses: light ones and heavy ones. The light fermion masses turn out to be of the order g/sup 2/ times the masses of the heavy ones, g being the gauge coupling constant. The possibility of imposing chiral invariance is based on a nontrivial property of the renormalization of the Yukawa coupling constants in gauge theories. As an illustration a simple SU (3) lepton model is considered in which the ratio of the electron and muon masses can be calculated to be of order 1/137.

• Research Organization: Leningrad Institute for Nuclear Physics, USSR Academy of Sciences
• OSTI ID: 7308136
• Journal Information: Sov. Phys. - JETP (Engl. Transl.); (United States), Journal Name: Sov. Phys. - JETP (Engl. Transl.); (United States) Vol. 44:4; ISSN SPHJA
• Country of Publication: United States
• Language: English

Related Subjects

645302* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- Applications to Electromagnetic & Weak Interactions-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
COUPLING CONSTANTS
FERMIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LIE GROUPS
MASS FORMULAE
SU GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS