Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917326628061184 |
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| author | Falconi, Marco Hinrichs, Benjamin Martín, Javier Valentín |
| author_facet | Falconi, Marco Hinrichs, Benjamin Martín, Javier Valentín |
| contents | In this paper we construct the non-trivial, renormalized Hamiltonian for a class of spin-boson models with supercritical form factors, including the one describing the Weisskopf-Wigner spontaneous emission. The renormalization is performed through both a self-energy and mass renormalization, in the so-called Hamiltonian formalism of constructive quantum field theory, implemented by a non-unitary dressing transformation. This solves the problem of triviality for unitarily-renormalized supercritical spin-boson models. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_00805 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors Falconi, Marco Hinrichs, Benjamin Martín, Javier Valentín Mathematical Physics Functional Analysis In this paper we construct the non-trivial, renormalized Hamiltonian for a class of spin-boson models with supercritical form factors, including the one describing the Weisskopf-Wigner spontaneous emission. The renormalization is performed through both a self-energy and mass renormalization, in the so-called Hamiltonian formalism of constructive quantum field theory, implemented by a non-unitary dressing transformation. This solves the problem of triviality for unitarily-renormalized supercritical spin-boson models. |
| title | Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors |
| topic | Mathematical Physics Functional Analysis |
| url | https://arxiv.org/abs/2508.00805 |