Arai’s classification question for infrared-renormalized van Hove–Miyatake models
Given two infrared-renormalized van Hove–Miyatake models, determine necessary and sufficient conditions for them to be unitarily equivalent; that is, characterize when there exists a unitary operator intertwining the two models.
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Primary source
Additional references
Progress summary
A new, unrefereed preprint claims to settle Arai’s classification question and extend the result to related quantum-field models.
Arai’s question concerns when infrared-renormalized van Hove–Miyatake models are unitarily equivalent. The newly reported classification claims to give the requested answer, but no proposer or original date is identified in the retrieved material.
September 2026 claimed classification
A newly posted preprint, Classification of abstract Bose field models, claims the classification answering Arai’s question and extending it to several related abstract Bose field models. The result is explicitly described as unrefereed, so its correctness and exact applicability remain unconfirmed.
Current status (as of September 2026): A complete classification is claimed in a new preprint, but the result remains unverified.
Sources
- arxiv.org
- arxiv.org
- anthropic.com
- quantamagazine.org
- inspirehep.net
- quantamagazine.org
- quantamagazine.org
- quantamagazine.org
- quantamagazine.org
- ar5iv.labs.arxiv.org
- ar5iv.labs.arxiv.org
- ar5iv.labs.arxiv.org
- arxiv.org
- mathstodon.xyz
- mathstodon.xyz
- mathstodon.xyz
- mathstodon.xyz
- mathstodon.xyz
- community.openai.com
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