An Exact, Finite, Gauge-Invariant, Non-Perturbative Model of QCD Renormalization
arXiv:1412.2072 · doi:10.1016/j.aop.2015.03.024
Abstract
A particular choice of renormalization, within the simplifications provided by the non-perturbative property of Effective Locality, leads to a completely finite, renormalized theory of QCD, in which all correlation functions can, in principle, be defined and calculated. In this Model of renormalization, only the Bundle chain-Graphs of the cluster expansion are non-zero. All Bundle graphs connecting to closed quark loops of whatever complexity, and attached to a single quark line, provided no 'self-energy' to that quark line, and hence no effective renormalization. However, the exchange of momentum between one quark line and another, involves only the cluster-expansion's chain graphs, and yields a set of contributions which can be summed and provide a finite color-charge renormalization that can be incorporated into all other QCD processes. An application to high energy elastic pp scattering is now underway.
arXiv comment30 pages, 8 figures,Minor revision in RevTeX 4.1, subsequent work of Eur. Phys. J. C65, 395-411 (2010), Ann. Phys. 327, 2666-2690 (2012), Ann. Phys. 338, 107-122 (2013), and Ann. Phys. 344, 78-96 (2014); or arXiv:0903.2644, arXiv:1003.2936, arXiv:1103.4179, arXiv:1104.4663, arXiv:1203.6137, arXiv:1204.2038, and arXiv:1207.5017
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- R-ratio of electron-positron annihilation into hadrons: higher-order pi2-terms
- Chiral Symmetry Breaking out of QCD Effective Locality
- A new approach to analytic, non-perturbative, gauge-invariant QCD renormalization is described, with applications to high energy elastic pp-scattering
- Test of an Analytic, Finite, Non-Perturbative, Gauge-Invariant QCD formulation against elastic pp scattering at the ISR energies