Duality between a deterministic cellular automaton and a bosonic quantum field theory in 1+1 dimensions
arXiv:1205.4107 · doi:10.1007/s10701-013-9702-z
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.
18 pages (incl. Title page). No figures
References in corpus (1)
Cited by in corpus (4)
- Action principle for cellular automata and the linearity of quantum mechanics
- Discrete Lorentz covariance for Quantum Walks and Quantum Cellular Automata
- The linearity of quantum mechanics from the perspective of Hamiltonian cellular automata
- A New Derivation of the Propagator's Path Integral for Spinless Elementary Particles