An exact, finite, gauge-invariant, non-perturbative approach to QCD renormalization

A particular choice of renormalization, within the simplifications provided by the non-perturbative property of Effective Locality, leads to a completely finite, non-perturbative approach to renormalized QCD, in which all correlation functions can, in principle, be defined and calculated. In this Mo...

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Bibliographic Details
Published in:Annals of physics 2015-08, Vol.359, p.1-19
Main Authors: Fried, H.M., Tsang, P.H., Gabellini, Y., Grandou, T., Sheu, Y.-M.
Format: Article
Language:English
Subjects:
CHARGE RENORMALIZATION
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CLUSTER EXPANSION
CORRELATION FUNCTIONS
Effective locality
Finite element analysis
GAUGE INVARIANCE
Non-perturbative
Physics
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QCD
QUANTUM CHROMODYNAMICS
QUARKS
Renormalization
Scattering
SELF-ENERGY
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Summary:A particular choice of renormalization, within the simplifications provided by the non-perturbative property of Effective Locality, leads to a completely finite, non-perturbative approach to renormalized 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.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2015.03.024