Worldsheet Propagator on the Lightcone Worldsheet Lattice

TL;DR

This paper introduces advanced techniques for analyzing planar open string worldsheets on a lightcone lattice, providing more precise results and enabling exact confirmation of previous numerical findings.

Contribution

It develops a near-closed form for the lattice worldsheet propagator, enhancing analytical precision and confirming earlier numerical results exactly.

Findings

Reproduces previous results with higher precision

Confirms earlier numerical consistency checks exactly

Provides a new analytical approach for lightcone lattice string analysis

Abstract

We develop new more powerful techniques, based on an almost closed form for the lattice worldsheet propagator, for analyzing planar open string worldsheets defined on a lightcone lattice. We show that results obtained in earlier work are easily reproduced with far more precision. In particular, consistency checks which required numerical analysis in the earlier work can now be confirmed exactly.