Probabilistic cellular automata for interacting fermionic quantum field theories
نویسندگان
چکیده
A classical local cellular automaton can describe an interacting quantum field theory for fermions. We construct a simple particular version of the Thirring model with imaginary coupling. This fermionic obeys unitary time evolution and shows all properties mechanics. Classical automata probabilistic initial conditions admit description in formalism Our exhibits interesting features as spontaneous symmetry breaking or solitons. The same be formulated generalized Ising model. euclidean lattice investigated by standard techniques statistical physics Monte Carlo simulations. is example how mechanics emerges from statistics.
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2021
ISSN: ['1873-1562', '0550-3213']
DOI: https://doi.org/10.1016/j.nuclphysb.2020.115296