Published September 8, 2022 | Version 1.0.0
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Probing center vortices and deconfinement in SU(2) lattice gauge theory with persistent homology — analysis workflow

Authors/Creators

  • 1. Swansea University
  • 2. Durham University

Description

This repository contains the analysis code used to prepare the plots and results included in Probing center vortices and deconfinement in SU(2) lattice gauge theory with persistent homology.

The analysis code is split into two Jupyter notebooks: 'twist_analysis.ipynb' and 'knn_analysis.ipynb', covering the Sections IV.A and IV.B of the paper respectively.

Additionally, the repository contains some saved calculations in 'intermediate_data.zip' that greatly speed up the computations if the original seeds are used. Running all the code with this intermediate data will take less than a minute, and running it without will take several hours.

There is also other useful code including that used to compute the persistent homology of configurations and that used to package the data into netCDF4 format.

Further details are given in the file 'README.md'.

Notes

NS has been supported by a Swansea University Research Excellence Scholarship (SURES). JG was supported by EPSRC grant EP/R018472/1. BL received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme under grant agreement No 813942. The work of BL was further supported in part by the UKRI Science and Technology Facilities Council (STFC) Consolidated Grant ST/T000813/1, by the Royal Society Wolfson Research Merit Award WM170010 and by the Leverhulme Foundation Research Fellowship RF-020-461\9. Numerical simulations have been performed on the Swansea SUNBIRD system. This system is part of the Supercomputing Wales project, which is part-funded by the European Regional Development Fund (ERDF) via Welsh Government.

Files

intermediate_data.zip

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Additional details

Related works

Is cited by
Preprint: 10.48550/arXiv.2207.13392 (DOI)
Requires
Dataset: 10.5281/zenodo.7060073 (DOI)

Funding

European Commission
EuroPLEx - European network for Particle physics, Lattice field theory and Extreme computing 813942
UK Research and Innovation
Application driven Topological Data Analysis EP/R018472/1
UK Research and Innovation
The Universe at Extreme Scales ST/T000813/1