Reggeon Field Theory and Self Duality: Making Ends Meet

TL;DR

This paper investigates the unitarity of Reggeon Field Theory by constructing self-dual Hamiltonians that align with known limits and symmetries, revealing limitations of the diamond condition beyond leading order.

Contribution

The authors identify a family of self-dual Reggeon Field Theory Hamiltonians that satisfy key physical constraints and analyze the validity of the diamond condition beyond leading order.

Findings

Found a family of Hamiltonians satisfying unitarity and symmetry requirements.

Identified that the diamond condition fails beyond leading perturbative order.

Connected the Hamiltonian form to the previously discussed diamond action.

Abstract

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.