Nature Communications (Dec 2022)

Uncomputably complex renormalisation group flows

  • James D. Watson,
  • Emilio Onorati,
  • Toby S. Cubitt

DOI
https://doi.org/10.1038/s41467-022-35179-4
Journal volume & issue
Vol. 13, no. 1
pp. 1 – 8

Abstract

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Renormalisation group methods serve for finding analytic solutions, critical points and computing phase diagrams of many-body systems. Here the authors demonstrate that renormalisation group schemes can be constructed for undecidable many-body systems, giving rise to the types of renormalisation group flow which are strictly more unpredictable than chaotic flows.