Code for “The Rise of Linear Trajectories”

This repository contains the code and data used to generate the plots in our paper The Rise of Linear Trajectories. This is broken down in two parts:

Forward Limit Bounds

These bounds make up the data for Figs. 1–3.

• The data for the bound is prepared in forward_bounds.nb. Note that we use crossing symmetric dispersion relations to simplify the calculation (notably for null constraints). One can verify that the sum rules and null constraints thus obtained are exactly the same as the ones presented in the paper.
• The computation is done server-side using sdpb and slurm. The server-side code is contained in the sdpbRun directory.
• The directories spectra_fig_1 and spectra_fig_3 contain the raw values for the spectra extracted at each point. These values can be read using the dedicated functions in forward_bounds.nb.

Non-Forward Bounds

These bounds make up the data for Figs. 4–5.

• We prepare the json file in run.sh. Note that we use the non-forward dispersion relations here as we describe in our paper and in 2102.08951.
• The values of the masses can be changed in generate.m.
• The sdpb run is done in run-l-g.sh.

Other Files

• The file Plots.nb contains the code that generates all the plots, in a comprehensible format. The exact values plotted can be found there as well.

Release