A Composite Model of Quarks and Bosons

Abstract

A composite model of quarks and bosons is proposed in which a spin $1/2$ isospin doublet $\psi$ is the basic building block of quarks and bosons in the standard model. The $\psi$ has two components $v$ and $w$ with charges $Q=\frac{1}{3}e$ and $Q=0$, respectively, that combine to form the three generations of colored quark flavors. A strong force described by a triplet of massless gluons bind the constituents called geminis. The confining constituent non-Abelian $SU(2)_C$ field theory is called constituent dynamics with a confining energy scale $\Lambda_{CD}$. The constituent dynamics condensate $\langle\bar{v}v+\bar{w}w\rangle\neq 0$ spontaneously breaks the electroweak symmetry $SU(2)_L\times U(1)_Y\rightarrow U(1)_{\rm EM}$ and a triplet of Nambu-Goldstone bosons make the gauge bosons $W^{\pm}$ and $Z^0$ massive, while retaining a massless photon. A global custodial $SU(2)_L\times SU(2)_R$ symmetry guarantees that the symmetry breaking in the weak interaction sector agrees with electroweak data. The non-Abelian $SU(2)_C$ color dynamics satisfies asymptotic freedom, which resolves the gauge and Higgs mass hierarchy problems and makes the model ultraviolet complete. The composite constituent dynamics model can realize a $SU(3)_C\times SU(2)_L\times U(1)_Y$ electroweak and strong interaction model that satisfies the naturalness principle. The three generations of colorless quarks $\alpha$ and $\beta$ with charges $Q=+1e$ and $Q=0$, respectively, which are predicted to exist in the composite model can form bound states which can be identified with the spectrum of exotic mesons.