2011/04/29 by J. W. Moffat, Moffat, J. W. · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.1104.5706
17 pages, no figures, LaTeX file
arxiv created 2011/04/29 · arxiv updated 2011/05/02
The problem of gauge invariance in an ultraviolet complete quantum field theory (QFT) with nonlocal interactions is investigated. For local fields that couple through a nonlocal interaction, it is demonstrated that the quantum electrodynamic (QED) sector of the electroweak (EW) model without a Higgs particle is gauge invariant. The non-Abelian QFT with massless gluons and nonlocal interactions is shown to be gauge invariant, and a perturbative S-matrix formalism in the interaction representation is investigated. The finite self-energy of a fermion and vacuum polarization are derived to first order. The Källén-Lehmann representation for the finite QED theory for local Heisenberg field operators is considered and the Coulomb potential between two charges is shown to be non-singular at r=0. The high energy limit of electromagnetic form factors is investigated in relation to the finite charge renormalization constant Z3-1. The magnitudes of the constants Z1,Z2 and Z3 for charge and mass renormalization are derived without divergences and shown to be non-perturbatively finite. The proton-proton collision cross section production of lepton pairs through the Drell-Yan process is investigated and the prediction for the cross section at high energies can be tested at the LHC.