A recent Schwinger Generating Functional based formulation, by H.M. Fried, Y. Gabellini, T. Grandou and Y-M. Sheu and P. Tsang provided gauge-invariant, exact, non-perturbative solutions for QCD. After choosing a renormalization scheme and assuming a simpler 2 body quark-quark scattering problem, this formalism is tested against experimental elastic proton-proton scattering at LHC energies (7, 8, 13 TeV). This formulation was previously compared with ISR energies at (23.5 - 62.5 GeV). The full scattering amplitude with infinite gluons summed, infinite loops summed and their interference terms are needed for LHC differential cross-sections.

Topics
Bosons, Quarks, Educational assessment, Gauge field theory, Scattering problem, Renormalization and regularization, Scattering theory
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