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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Toward a Pomeron from Fried's Nonperturbative QCD Functional Formalism II: Scalar-Glue Visibility and Top-Block Cyclicity

Authors: Tsang, Peter H.;

Toward a Pomeron from Fried's Nonperturbative QCD Functional Formalism II: Scalar-Glue Visibility and Top-Block Cyclicity

Abstract

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.

Keywords

pomeron, quantum field theory

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selected citations
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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).
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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.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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