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Reggeon Field Theory and Self Duality: Making Ends Meet

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arxiv 2007.12132 v2 pith:3KZDKZPP submitted 2020-07-23 hep-ph nucl-th

Reggeon Field Theory and Self Duality: Making Ends Meet

classification hep-ph nucl-th
keywords fieldtheorydiamondreggeoncalledfindhamiltoniansself
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Motivated by the question of unitarity of Reggeon Field Theory, we use the effective field theory philosophy to find possible Reggeon Field Theory Hamiltonians $H_{RFT}$. We require that $H_{RFT}$ is self dual, reproduce all known limits (dilute-dense and dilute-dilute) and exhibits all the symmetries of the JIMWLK Hamiltonian. We find a family of Hamiltonians which satisfy all the above requirements. One of these is identical in form to the so called "diamond action" discussed in \cite{diamond,Balitsky05}. However we show by explicit calculation that the so called "diamond condition" is not satisfied beyond leading perturbative order.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Dipole-dipole scattering at high energy in the Pomeron field theory with Braun Hamiltonian and beyond

    hep-ph 2026-08 conditional novelty 6.0

    Deep in saturation, Braun-Hamiltonian pomeron calculus predicts S_dd = (S_BK)^4 for dipole-dipole scattering, four powers of the standard estimate, but the paper's own unitary toy model contradicts this prediction.

  2. Dipole-dipole scattering: summing large Pomeron loops in non-linear evolution with leading twist kernel

    hep-ph 2025-12 conditional novelty 5.0

    In a leading-twist kernel, matching the BK solution to fan-diagram series yields KNO multiplicity distributions and gluon entropy S_E = ln(xG) for dipole-nucleus and dipole-dipole scattering.