On the Casimir operator dependences of QCD amplitudes

Abstract

In eikonal and quenched approximations at least, it is argued that the strong coupling fermionic QCD amplitudes obtained with the help of the newly discovered effective locality property, depart from a dependence on the sole $S{U}_c(3)$ quadratic Casimir operator, evaluated over the fundamental gauge group representation. This result, in contradistinction with Perturbation Theory, but also with a number of non-perturbative approaches such as the MIT Bag, the Stochastic Vacuum Models, and Lattice simulations, accounts, instead, for the full algebraic content of the rank-2 $S{U}_c(3)$-Lie algebra

New Eq.(6) is more general than the previous one, and is further detailed by Eqs.(7) and (8). Conclusion is a bit more detailed, and the References completed with the titles of articles

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Cited by in corpus (6)

• An Exact, Finite, Gauge-Invariant, Non-Perturbative Model of QCD Renormalization
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• Schwinger Generating Functional Derivation of LHC Elastic Proton-Proton Scattering Amplitudes
• A new approach to analytic, non-perturbative, gauge-invariant QCD renormalization is described, with applications to high energy elastic pp-scattering