# On the one-dimensional reggeon model: eigenvalues of the Hamiltonian and the propagator

## TL;DR

This paper investigates a simplified one-dimensional reggeon model, deriving and solving the eigenvalue equation for its Hamiltonian, and uses these results to compute the pomeron propagator.

## Contribution

It introduces a transcendental eigenvalue equation for the reggeon Hamiltonian and provides numerical solutions, advancing understanding of the toy model's spectral properties.

## Key findings

- Eigenvalues of the Hamiltonian are obtained numerically.
- The pomeron propagator is calculated using these eigenvalues.
- The study enhances the theoretical understanding of the zero transverse dimension reggeon model.

## Abstract

The effective reggeon field theory in zero transverse dimension ("the toy model") is studied. The transcendental equation for eigenvalues of the Hamiltonian of this theory is derived and solved numerically. The found eigenvalues are used for the calculation of the pomeron propagator.