On Composite Gauge Fields and Dynamical Symmetry Breaking

Considering biquadratic Lagrangians of the Fermi type as the low-energy limit of a renormalizable Yang-Mills gauge theory, the possibility of composite-state formation is studied. It is shown that the composite states, under certain nonrestrictive conditions, bear the same quantum numbers as the underlying boson gauge fields. If the underlying gauge theory includes « charge » operators which give rise to parity-conserving currents, then these give origin in the biquadratic effective Lagrangians to terms of the same form as those adopted by Nambu and Jona-Lasinio in their work on spontaneous symmetry breaking, giving thus origin to mass terms for the spinor multiplets. Further consequences, such as existence of pseudoscalar boson and vacuum degeneracy, can be drawn as in the above-mentioned work. As an example of application of this approach a Konopinski-Mahmoud-type model of leptons is considered. It is shown that by the proposed mechanism the lepton masses could be spontaneously generated including μ-e asymmetry, but in order to obtain massless neutrinos one must start from a 4-dimensional instead of a 3-dimensional fermion multiplet. It is shown that in this model the Fermi constant should obey a dynamical integral equation which, under a simplifying hypothesis, can be explicitly given.

FIELD THEORY: YANG-MILLS
FIELD THEORY: GAUGE
MODEL: COMPOSITE
MODEL: WEAK INTERACTION
ELECTROMAGNETIC INTERACTION
SYMMETRY: BROKEN
QUANTUM NUMBER
CONSERVATION LAW: PARITY
PARITY: CONSERVATION LAW
SPONTANEOUS SYMMETRY BREAKING

References(17)

Figures(0)

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