A UNIQUE SU(5) AND SO(10) UNIFICATION WITH COMPLETE DYNAMICAL SYMMETRY BREAKING
Abstract
A unique asymptotically free, anomaly-free, SU(5) gauge theory is proposed as a possible complete unification of the standard model in which all symmetry-breaking is dynamical. The asymptotic freedom constraint is saturated, removing renormalon divergences and leaving well-defined instanton interactions as the only nonperturbative ingredient of the theory. Consequently, it is argued, topological vacuum polarization of a very heavy, unconventional quantum number, quark sector dominates the dynamics, producing SU(5) symmetry breaking and a three generation low energy spectrum. Electroweak symmetry breaking is due to a chiral condensate of color sextet quarks. The embedding of the theory in a single SO(10) representation is used for the dynamical analysis and may also have physical significance.
Work supported by the U.S. Department of Energy, Division of High Energy Physics, Contract W-31-109-ENG-38 and Contract DE-AC02-76ER03130-A020-Task A.
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