Duality between a deterministic cellular automaton and a bosonic quantum field theory in 1+1 dimensions

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Abstract

Methods developed in a previous paper are employed to define an exact correspondence between the states of a deterministic cellular automaton in 1+1 dimensions and those of a bosonic quantum field theory. The result may be used to argue that quantum field theories may be much closer related to deterministic automata than what is usually thought possible. Version 2 had a minor typo corrected and notation was made more consistent.
Original languageEnglish
JournalFoundations of Physics
Volume43
DOIs
Publication statusPublished - May 2013

Keywords

  • Cellular automaton
  • Deterministic
  • Hilbert space
  • Quantum field theory
  • Lattice
  • Left and right movers
  • quant-ph
  • hep-th

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