Gauge Invariant Summation of All QCD Virtual Gluon Exchanges
arXiv:0903.2644 · doi:10.1140/epjc/s10052-009-1224-7
Abstract
The interpretation of virtual gluons as ghosts in the non-linear gluonic structure of QCD permits the formulation and realization of a manifestly gauge-invariant and Lorentz covariant theory of interacting quarks/anti-quarks, for all values of coupling. The simplest example of quark/anti-quark scattering in a high-energy, quenched, eikonal model at large coupling is shown to be expressible as a set of finite, local integrals which may be evaluated numerically; and before evaluation, it is clear that the result will be dependent only on, and is damped by increasing momentum transfer, while displaying physically-reasonable color dependence in a manner underlying the MIT Bag Model and an effective, asymptotic freedom. A similar but more complicated integral will result from all possible gluonic-radiative corrections to this simplest eikonal model. Our results are compatible with an earlier, field-strength analysis of Reinhardt et al.
35 pages, no figures
References in corpus (3)
Cited by in corpus (16)
- Final state interactions and the transverse structure of the pion using non-perturbative eikonal methods
- An Exact, Finite, Gauge-Invariant, Non-Perturbative Model of QCD Renormalization
- Non-perturbative QCD amplitudes in quenched and eikonal approximations
- A New Approach to Analytic, Non-Perturbative and Gauge-Invariant QCD
- Analytic, Non-Perturbative, Gauge-invariant QCD: Nucleon Scattering and Binding Potentials
- On the Casimir operator dependences of QCD amplitudes
- Explicit form of the R-ratio of electron-positron annihilation into hadrons
- On the non-perturbative realization of QCD gauge-invariance
- Casimir operator dependences of non-perturbative fermionic QCD amplitudes
- Dispersive approach to QCD and hadronic contributions to electroweak observables
- Effective locality and chiral symmetry breaking in QCD
- R-ratio of electron-positron annihilation into hadrons: higher-order pi2-terms
- Comparison of QCD Curves with Elastic pp Scattering Data
- Schwinger Generating Functional Derivation of LHC Elastic Proton-Proton Scattering Amplitudes
- Test of an Analytic, Finite, Non-Perturbative, Gauge-Invariant QCD formulation against elastic pp scattering at the ISR energies
- A new approach to analytic, non-perturbative, gauge-invariant QCD renormalization is described, with applications to high energy elastic pp-scattering