Paul H. Frampton

Chiral Color: An Alternative to the Standard Model

Abstract Quantum chromodynamics may be a relic of the spontaneous breakdown of a larger gauge group just as QED survives the spontaneous breakdown of electroweak SU(2)×U(1). We speculate that QCD originates in the chiral color group SU(3)×SU(3), and that the scale of chiral-color breaking is similar to the electroweak mass scale. Such theories predict the existence of many new fundamental particles including especially the “axigluon”. This spin-one massive gauge particle should weigh several hundred GeV and be visible as a jet-jet resonance at hadron colliders.

SIMPLE NON-ABELIAN FINITE FLAVOR GROUPS AND FERMION MASSES

The use of non-Abelian discrete groups G as family symmetries is discussed in detail. Out of all such groups up to order g=31, the most appealing candidates are two subgroups of SU(2): the dicyclic (double dihedral) group G=Q6=(d)D3(g=12) and the double tetrahedral group . Both can allow a hierarchy t>b, τ>c>s, μ>u, d, e. The top quark is uniquely allowed to have a G symmetric mass. Sequential breaking of G and radiative corrections give the smaller masses. Anomaly freedom for gauging G⊂SU(2) is a strong constraint in assignment of fermions to representations of G.

Staying alive with SU(5)

Abstract The reliability of the simplest SU(5) predictions for proton lifetime and sin2θ is discussed. A split (10 + 10 ) fermion representation improves agreement with experiment.

Unification of flavor

Abstract Embedding SU(5) grand unification in SU(N) is reconsidered. Imposing asymptotic freedom, solution of a diophantine equation leads to a simple SU(9) theory which supports strongly the idea that only six flavors of light quark exist. Results of other approaches are briefly reviewed.

Classification of Conformality Models Based on Nonabelian Orbifolds

A systematic analysis is presented of compactifications of the IIB superstring on AdS5×S 5 / where is a non-abelian discrete group. Every possible wi th order g ≤ 31 is considered. There exist 45 such groups but a majority cannot yield chiral fermions due to a certain theorem that is proved. The lowest order to embrace the nonSUSY standard SU(3) × SU(2) × U(1) model with three chiral families is = D4 × Z3, with g = 24; this is the only successful model found in the search. The consequent uniqueness of the successful model arises primarily from the scalar sector, prescribed by the construction, being

AdS-CFT string duality and conformal gauge theories

Compactification of type IIB superstring on an AdS{sub 5}{times}S{sup 5}/{Gamma} background leads to SU(N) gauge field theories with prescribed matter representations. In the {close_quote}t Hooft limit of large {ital N} such theories are conformally finite. For finite {ital N} and broken supersymmetry (N=0) I derive the constraints to be two-loop conformal and examine the consequences for a wide choice of {Gamma} and its embedding {Gamma}{contained_in}C{sup 3}({contains}S{sup 5}). {copyright} {ital 1999} {ital The American Physical Society}

Automatic invisible axion without domain walls

Abstract We construct a grand unified model with three families of quarks and leptons based on an SU(9) gauge symmetry which automatically eliminates the strong CP puzzle with an invisible axion but which has no cosmological domain wall problem.

STABILITY ISSUES FOR DARK ENERGY

Cosmological data reveal a dark energy with a negative equation of state w=P/ρ 0 to Λ=0 in an assumed first-order phase transition. From arguments about stimulated nucleation it is shown that the critical nucleation radius must be at least of galactic size. The spontaneous nucleation rate is infinitesimal thus explaining the dark energys extreme stability. Dark energy detection at subgalactic scales will never be possible.

Zee model confronts SNO data

We reexamine the solution of the minimal Zee model by comparing with the data of the SNO experiment, and conclude that the model is strongly disfavored but not yet excluded by the observations. Two extensions of the Zee model are briefly discussed both of which introduce additional freedom and can accommodate the data.

N=8 supergravity and Kaluza-Klein axial anomalies☆

Abstract By consideration of the ten-dimensional supersymmetric string theory which may underly unification of gravity with the other elementary particle forces it is argued that the light fermions must reflect the cancellation of Kaluza-Klein axial anomalies in ten dimensions. Using a gauge group SU(8), and assuming that both dimensional compactification and supersymmetry breaking occur at the Planck scale, we arrive at a set of fermions consistent with the observed light quarks and leptons including the replication of families.