On the reggeon model with the pomeron and odderon: singularities with non-zero masses

TL;DR

This paper investigates the Regge-Gribov model of pomeron and odderon, revealing phase transitions and singularities with non-zero masses as intercepts approach critical values, highlighting non-physical regimes beyond certain thresholds.

Contribution

It introduces an analysis of the Regge-Gribov model with different bare intercepts and slopes using renormalization group techniques, identifying phase transitions and singularities.

Findings

Identified non-trivial branch point singularities indicating phase transitions.

Found that the model becomes non-physical when intercepts exceed critical values.

Discovered fixed points related to the behavior of the pomeron and odderon.

Abstract

The Regge-Gribov model of the pomeron and odderon in the non-trivial transverse space is studied by the renormalization group technique in the single loop approximation. The pomeron and odderon are taken to have different bare intercepts and slopes. The behaviour when the intercepts move from below to their critical values compatible with the Froissart limitation is studied. The singuarities in the form of non-trivial branch points indicating a phase transition are found in the vicinity of five fixed points found in the previous publication. Since new phases violate the projectile-target symmetry the model is found non-physical for the bare intercepts above their critical value.