Schwinger Generating Functional Derivation of LHC Elastic Proton-Proton Scattering Amplitudes
Abstract
A recent Schwinger Generating Functional based formulation, by H.M.Fried,Y.Gabellini,T.Grandou and Y-M.Sheu and P.H.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.
Keywords
Cite
@article{arxiv.1811.04925,
title = {Schwinger Generating Functional Derivation of LHC Elastic Proton-Proton Scattering Amplitudes},
author = {Peter H. Tsang},
journal= {arXiv preprint arXiv:1811.04925},
year = {2019}
}
Comments
16th International Conference of Numerical Analysis and Applied Mathematics : Analysis of Quantum Field Theory IV, Rhodes, Greece, 13-18 Sept, 2018