A Note on the Resolvent Algebra and Functional Integral Approach to the van Hove Model
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908993595637760 |
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| author | Sekine, Yoshitsugu |
| author_facet | Sekine, Yoshitsugu |
| contents | This paper is a collection of the author's computational notes on the van Hove model and contains no essentially new results. We discuss, from both the operator-algebraic perspective via the Weyl algebra and the resolvent algebra and the functional integral approach, the removal of infrared and ultraviolet cutoffs and the existence of the ground state and $β$-KMS states in the case of a point source. In the infinite-volume system at finite temperature, Bose--Einstein condensation can arise. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_23497 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Note on the Resolvent Algebra and Functional Integral Approach to the van Hove Model Sekine, Yoshitsugu Mathematical Physics This paper is a collection of the author's computational notes on the van Hove model and contains no essentially new results. We discuss, from both the operator-algebraic perspective via the Weyl algebra and the resolvent algebra and the functional integral approach, the removal of infrared and ultraviolet cutoffs and the existence of the ground state and $β$-KMS states in the case of a point source. In the infinite-volume system at finite temperature, Bose--Einstein condensation can arise. |
| title | A Note on the Resolvent Algebra and Functional Integral Approach to the van Hove Model |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2604.23497 |