Fermions in asymptotically free theories | Zendy

Chong-Leong Ong | Zendy

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Fermions in asymptotically free theories

Author(s) -

Chong-Leong Ong

Publication year - 1982

Publication title -

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Language(s) - English

Resource type - Journals

eISSN - 1089-4918

pISSN - 0556-2821

DOI - 10.1103/physrevd.25.1727

Subject(s) - fermion , physics , asymptotic freedom , dimension (graph theory) , gauge theory , rank (graph theory) , particle physics , connection (principal bundle) , spectrum (functional analysis) , mathematical physics , lepton , degrees of freedom (physics and chemistry) , theoretical physics , quark , gauge group , quantum electrodynamics , quantum mechanics , pure mathematics , mathematics , combinatorics , electron , geometry

It is shown that the dimension of a gauge group exceeds a critical value N/sub c/, the only types of asymptotic-freedom-allowed representations for fermions are vector and second-rank tensors. A possible connection between this observation and the quark-lepton spectrum is discussed.

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