Mathematics
Scientific paper
Sep 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phdt.........4p&link_type=abstract
Ph.D. Thesis Stanford Linear Accelerator Center, CA.
Mathematics
Bosons, Chiral Dynamics, Mathematical Models, String Theory, Supergravity, Supersymmetry, Broken Symmetry, Gauge Theory, Invariance, Mass Spectra
Scientific paper
The supersymmetric standard model is studied in the presence of heavy families. The minimal set of Higgs fields, the desert between the electroweak and the grand unification scale and perturbative values of the dimensionless parameters throughout this region are assumed. Using the numerical as well as the approximate analytic solution of the renormalization group equations, the evolution of all the parameters of the theory in the case of large Yukawa couplings for the fourth family was studied. The desired spontaneous symmetry breaking of the electroweak symmetry takes place only for a rather unnatural choice of the initial values of certain mass parameters at the grand unification scale. Two scenarios are possible, depending on the value of the gravitino mass. The gauge-invariant theory of the free bosonic open string is generalized to treat closed strings and superstrings. All of these theories can be written as theories of string differential forms defined on suitable spaces. All of the bosonic theories have exactly the same structure; the Ramond theory takes an analogous first-order form. It is shown explicitly, using simple and general manipulations, how to gauge-fix each action to the light-cone gauge and to the Feynman-Seigel gauge.
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