Group theory of unified gauge models and tumbling

R.C. King

Physica A: Statistical Mechanics and its Applications, 1982, vol. 114, issue 1, 393-397

Abstract: In a large class of unified gauge models involving chiral fermion fields the evolution of the running coupling constant is expected to initiate dynamical symmetry breaking. This breaking leads to the generation of mass by some of the fermions. The remaining fermion fields are then associated with further dynamical symmetry breaking. This behaviour, known as tumbling, is investigated in the case of all anomaly-free, asymptotically-free assignments of fermions to complex representations of the possible simple gauge groups SU(n), SO(4k + 2) and E6. To implement this investigation the maximally attractive channel hypothesis is adopted, but is shown to lead to tumbling patterns which are at variance with observation in the sense that the desirable tumbling to yield SU(3) × SU(2) × U(1) is not predicted. Some alternative hypotheses are discussed.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:114:y:1982:i:1:p:393-397

DOI: 10.1016/0378-4371(82)90318-1

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