
TL;DR
This paper develops a perturbative bound state method for QED and QCD, tested on positronium and mesons, revealing insights into confinement, frame independence, and chiral symmetry breaking.
Contribution
It introduces a novel perturbative approach to bound states in gauge theories, applicable to both QED and QCD, with explicit calculations and implications for confinement and symmetry breaking.
Findings
Validated on positronium with hyperfine splitting and form factors
Demonstrated frame independence of deep inelastic scattering distributions
Revealed confining potentials and Regge trajectories in QCD
Abstract
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 () bound by the instantaneous interaction of temporal gauge (). The method is tested on Positronium atoms at rest and in motion, including hyperfine splitting at , electromagnetic form factors and deep inelastic scattering. Relativistic binding is studied for QED in dimensions, demonstrating the frame independence of the DIS electron distribution and its sea for . In QCD a homogeneous solution of Gauss' constraint in implies confining potentials for and states, whereas is unconfined. Meson states lie on linear Regge trajectories and have the required frame dependence. A scalar bound state…
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