Linear Regge trajectories from worldsheet lattice parton field theory

TL;DR

This paper demonstrates that a string-inspired particle field theory produces linear Regge trajectories in ladder approximation, aligning with string theory, and explores how radiative corrections affect this linearity.

Contribution

It introduces a particle field theory based on string constituents that reproduces linear Regge trajectories and develops techniques to analyze scattering amplitudes and corrections.

Findings

Ladder approximation yields linear Regge trajectories.

Radiative corrections may break linearity.

Gaussian propagators facilitate amplitude calculations.

Abstract

We show that unlike conventional field theory, the particle field theory of the string's constituents produces in the ladder approximation linear Regge trajectories, in accord with its string theory dual. In this theory propagators are Gaussian and this feature facilitates the perturbative evaluation of scattering amplitudes. We develop general techniques for studying their general asymptotic form. We consider radiative corrections to the ladder Regge trajectory and discover that linearity is lost; however, this may be due to certain approximations we have made.