
In a preceding work we established an external-cyclic first-return Pomeron theorem in Fried’snonperturbative QCD functional formalism: the scalar crossing-even channel generated by afinite-size pp source contains a positive-intercept Mellin singularity,αcycP,pp(0) > 1.The present paper addresses the next step: whether this cyclic singularity is visible in the topscalar crossing-even Perron block. The required condition isEtop,+Φp̸ = 0,where Etop,+ is the spectral projection of the leading scalar C = + transfer block and Φp is thefinite-size scalar proton source. The key observation is that the finite-size source used in thecyclic theorem has nonzero scalar-glue overlap. In the Fried/Halpern representation this overlapis encoded by the non-Abelian commutator-channel numeratorN2,comm(χ; c) = Gp[c]8XxP xf (χ)2,which has the same scalar color-singlet 0++ quantum numbers as the local gluonic operatorF aμν F aμν . We then formulate a scalar cyclicity hypothesis, modeled on the Reeh–Schliedertheorem for the gauge-invariant local QCD algebra:A0++ |0⟩ = H0++ .Under this scalar cyclicity and irreducibility of the positive scalar vacuum cone, the nonzeroscalar-glue overlap of Φp impliesEtop,+Φp̸ = 0.Thus the cyclic Pomeron singularity of the first paper is promoted to a top-block visible scalarcrossing-even singularity in the physical pp channel. The remaining upgrade to a rightmostPomeron is odd-sector domination, treated separately.
pomeron, quantum field theory
pomeron, quantum field theory
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 0 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
