Related papers: Renormalisation of Fermionic Cellular Automata

Renormalisation of Fermionic Cellular Automata

URL: http://arxiv.org/abs/2511.23398v1
Date: Fri, 28 Nov 2025 17:50:53 GMT
Title: Renormalisation of Fermionic Cellular Automata
Authors: Lorenzo Siro Trezzini, Andrea Pizzamiglio, Alessandro Bisio, Paolo Perinotti,
Abstract summary: We present an exact renormalisation scheme for fermionic cellular automata on hypercubic lattices.<n>We derive a necessary and sufficient condition for renormalisability and fully characterise the renormalisation flow for two-cell tiles and two time steps of nearest-neighbour fermionic automata.
Score: 39.34249533503843
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We present an exact renormalisation scheme for fermionic cellular automata on hypercubic lattices. By grouping neighbouring cells into tiles and selecting subspaces within them, multiple evolution steps on the original system correspond to a single step of an effective automaton acting on the subspaces. We derive a necessary and sufficient condition for renormalisability and fully characterise the renormalisation flow for two-cell tiles and two time steps of nearest-neighbour fermionic automata on a chain of spinless modes, identifying all fixed points.

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