By dropping locality, the authors construct reflection-positive Euclidean distributions, quasi-Schwinger functions, that encode relativistic quantum mechanics of finite particle systems with cluster properties.
Poincare Covariant Quark Models of Baryon Form Factors
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Poincare covariant quark models of the the nucleon, the $\Delta$ resonance and their excitations are explored. The baryon states are represented by eigenfunctions of the four-velocity and a confining mass operator, which reproduces the empirical spectrum up to $\sim$ 1700 MeV to an accuracy of $\sim 6%$. Models of constituent quark currents provide the relations between ground-state properties and transition amplitudes.
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Reflection positivity in Euclidean formulations of relativistic quantum mechanics of particles
By dropping locality, the authors construct reflection-positive Euclidean distributions, quasi-Schwinger functions, that encode relativistic quantum mechanics of finite particle systems with cluster properties.