Abstract
A certain class of cellular automata in 1 space +1 time dimension is shown to be closely related to quantum field theories containing Dirac fermions. In the massless case this relation can be studied analytically, while the introduction of Dirac mass requires numerical simulations. We show that in the last case the cellular automation describes the corresponding field theory only approximately. (orig.).
Citation Formats
Hooft, G 't, Isler, K, and Kalitzin, S.
Quantum field theoretic behavior of a deterministic cellular automaton.
Netherlands: N. p.,
1992.
Web.
doi:10.1016/0550-3213(92)90628-O.
Hooft, G 't, Isler, K, & Kalitzin, S.
Quantum field theoretic behavior of a deterministic cellular automaton.
Netherlands.
https://doi.org/10.1016/0550-3213(92)90628-O
Hooft, G 't, Isler, K, and Kalitzin, S.
1992.
"Quantum field theoretic behavior of a deterministic cellular automaton."
Netherlands.
https://doi.org/10.1016/0550-3213(92)90628-O.
@misc{etde_7017599,
title = {Quantum field theoretic behavior of a deterministic cellular automaton}
author = {Hooft, G 't, Isler, K, and Kalitzin, S}
abstractNote = {A certain class of cellular automata in 1 space +1 time dimension is shown to be closely related to quantum field theories containing Dirac fermions. In the massless case this relation can be studied analytically, while the introduction of Dirac mass requires numerical simulations. We show that in the last case the cellular automation describes the corresponding field theory only approximately. (orig.).}
doi = {10.1016/0550-3213(92)90628-O}
journal = []
volume = {386:3}
journal type = {AC}
place = {Netherlands}
year = {1992}
month = {Nov}
}
title = {Quantum field theoretic behavior of a deterministic cellular automaton}
author = {Hooft, G 't, Isler, K, and Kalitzin, S}
abstractNote = {A certain class of cellular automata in 1 space +1 time dimension is shown to be closely related to quantum field theories containing Dirac fermions. In the massless case this relation can be studied analytically, while the introduction of Dirac mass requires numerical simulations. We show that in the last case the cellular automation describes the corresponding field theory only approximately. (orig.).}
doi = {10.1016/0550-3213(92)90628-O}
journal = []
volume = {386:3}
journal type = {AC}
place = {Netherlands}
year = {1992}
month = {Nov}
}