https://doi.org/10.1051/epjconf/201713710002
On a strong coupling property of QCD
Institut Non-Linéaire de Nice Sophia-Antipolis, UMR-CNRS 7335, 06 560 Valbonne, France
a e-mail: thierry.grandou@inln.cnrs.fr
Published online: 22 March 2017
The fermionic Green’s functions of QCD exhibit an unexpected property of effective locality, which appears to be exact, involving no approximation. In the limit of strong coupling, and at eikonal and quenching approximations (where this property was first discovered), effective locality implies a dependence of non-perturbative fermionic Green’s functions on the full algebraic content of the rank 2-SUc(3) color algebra. At variance with Perturbation Theory and a variety of non-perturbative approaches also, C3-dependences show up, where C3 stands for the second, trilinear Casimir invariant of SUc(3). These dependences are sub-leading in magnitude and seem to comply with the maximally allowed departures from the pure C2 behaviours advocated by lattice numerical estimates.
© The Authors, published by EDP Sciences, 2017
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