Non-abelian Gauge-Invariant Cellular Automata

Pablo Arrighi (1, 2) , Giuseppe Di Molfetta (1) , Nathanaël Eon (1)

1 LIS - Laboratoire d'Informatique et des Systèmes (LIS) (Marseille, Toulon)
2 IXXI - Institut Rhône-Alpin des systèmes complexes

Gauge-invariance is a mathematical concept that has profound implications in Physics---as it provides the justification of the fundamental interactions. It was recently adapted to the Cellular Automaton (CA) framework, in a restricted case. In this paper, this treatment is generalized to non-abelian gauge-invariance, including the notions of gauge-equivalent theories and gauge-invariants of configurations

Domaines: Physique Quantique [quant-ph]; Physique Générale [physics.gen-ph]

Pablo Arrighi, Giuseppe Di Molfetta, Nathanaël Eon. Non-abelian Gauge-Invariant Cellular Automata. 2024. ⟨hal-02303064⟩