{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"6b7b601ce9d9c66fe7e4158f840e0e246b74040487408a431a2e6af1ca7c89d0","created":"2026-10-03T07:17:59Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"9769cc144386d52b4c35b92dbd551ebee16ae3f23c3bee7e74899a22e7ebfbdc","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"classification","assisted_by":[],"external_id":"cm.dqpt.scaling-universality","kind":"well-posed","literature_status":"open","n":"1","parents":[],"plain":"Ordinary phase transitions have universal exponents shared by very different materials. Whether the kinks in the return probability have universal exponents in interacting two- and three-dimensional systems is not known.","posed_since":"","precise":"Near $t_c$, determine whether $\\ell(t)-\\ell(t_c)\\sim \\left|t-t_c\\right|^a$ with exponent a independent of microscopic details for interacting models in $d=2,3$ (e.g. the transverse-field Ising model quenched from the paramagnet deep into the ferromagnet). Answer: values of a and their classification.","problem_ref":null,"references":"","settled_by":"Large-scale 2D numerics (tensor networks or neural quantum states) plus a renormalization-group theory predicting the exponents.","status_note":"Heyl (2015) derived universal scaling for a class of Ising-type quenches; generic interacting cases remain open.","title":"Universal scaling near dynamical transitions in interacting 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