Journey to the Bound States

Guided by the observed properties of hadrons I formulate a perturbative bound state method for QED and QCD. The expansion starts with valence Fock states ($e^+e^-,\ q\bar q,\ qqq,\ gg$) instantaneous interaction temporal gauge ($A^0=0$). is tested on Positronium atoms at rest in motion, including hyperfine splitting $O(\alpha^4)$, electromagnetic form factors deep inelastic scattering. Relativistic binding studied $D=1+1$ dimensions, demonstrating frame independence DIS electron distribution its sea $x_{bj} \to 0$. In QCD homogeneous solution Gauss' constraint $D=3+1$ implies $O(\alpha_s^0)$ confining potentials $q\bar qg,\ qqq$ $gg$ states, whereas q\,q\bar q$ unconfined. Meson lie linear Regge trajectories have required dependence. A scalar vanishing four-momentum causes spontaneous chiral symmetry breaking when mixed vacuum. These lecture notes assume knowledge field theory methods, but not states. Brief reviews existing methods Dirac are included. Solutions to exercises given Appendix.