On the Casimir operator dependences of QCD amplitudes
Université de Nice-Sophia Antipolis, Institut Non Linéaire de Nice, UMR CNRS 7335 - 1361 routes des Lucioles, 06560 Valbonne, France
Received: 9 April 2014
Accepted: 13 June 2014
In eikonal and quenched approximations at least, it is argued that the strong-coupling fermionic QCD amplitudes based on the newly discovered effective locality property, depart from a dependence on the sole quadratic Casimir operator, evaluated over the fundamental gauge group representation: A definite dependence on the cubic SU(3) Casimir operator takes place. This result, in contradistinction to perturbation theory, but also to 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 Lie algebra.
PACS: 12.38.Aw – General properties of QCD (dynamics, confinement, etc.) / 12.38.Lg – Other nonperturbative calculations
© EPLA, 2014