{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.topic/1","content_sha256":"96fe8f0ef93d15e433ea9ab56094113e8f466ff6675c78242b09a729e2b42538","created":"2026-10-03T07:17:52Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":[],"salt":"5c7667975390620bc13a93be46584fed1579978bcea2863b04286a220643e7ea","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"topic"},"content":{"external_id":"mathph.ising-rigorous","field":"mathph","n":"1","review_cite":"H. Duminil-Copin, 100 years of the (critical) Ising model on the hypercubic lattice, arXiv, 2022","review_link":"https://arxiv.org/abs/2208.00864","review_verified":"true","summary":"The Ising model, a grid of tiny magnets that point up or down, has a sharp phase transition whose 3D critical exponents are known to many digits from computers, yet mathematicians cannot prove that they exist. The predicted behaviour of such models, and of random paths that never cross themselves, is proven mainly in four or more dimensions, where it is close to that of free fields.","title":"Rigorous renormalization group and Ising criticality","topic_ref":null,"why":"A proof of scaling and universality in three and four dimensions would put the renormalization group, the main tool for phase transitions, on rigorous footing in the physical dimensions."},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"0b88a0ded9bd47630f1a876bef355f9b17efdebced19bd55e73bb1cd79f5cae3","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"3c0b78a50616563a7b9888902a3d8f42f18e59594ba0da9cfcef3e4c820f6331","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"yPm4lP_sIAKwbkJLxiQ97sF5r9H-LdqfEjwTgdJENSm2KM83z91OL-EGD3sKOeS7l7Ma1V07sylsghnRwLgvDg"},"schema":"pubphys.envelope/1"},"record_hash":"0b88a0ded9bd47630f1a876bef355f9b17efdebced19bd55e73bb1cd79f5cae3","leaf_index":260}