Renormalisation of Fermionic Cellular Automata
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917112378818560 |
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| author | Trezzini, Lorenzo Siro Pizzamiglio, Andrea Bisio, Alessandro Perinotti, Paolo |
| author_facet | Trezzini, Lorenzo Siro Pizzamiglio, Andrea Bisio, Alessandro Perinotti, Paolo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_23398 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Renormalisation of Fermionic Cellular Automata Trezzini, Lorenzo Siro Pizzamiglio, Andrea Bisio, Alessandro Perinotti, Paolo Quantum Physics Statistical Mechanics Mathematical Physics Cellular Automata and Lattice Gases 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. |
| title | Renormalisation of Fermionic Cellular Automata |
| topic | Quantum Physics Statistical Mechanics Mathematical Physics Cellular Automata and Lattice Gases |
| url | https://arxiv.org/abs/2511.23398 |