A simple construction of the sine-Gordon model via stochastic quantization
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866915074962096128 |
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| author | Gubinelli, Massimiliano Hairer, Martin Oh, Tadahiro Zine, Younes |
| author_facet | Gubinelli, Massimiliano Hairer, Martin Oh, Tadahiro Zine, Younes |
| contents | We present a simple PDE construction of the sine-Gordon measure below the first threshold ($\be^2 < 4π$), in both the finite and infinite volume settings, by studying the corresponding parabolic sine-Gordon model. We also establish pathwise global well-posedness of the hyperbolic sine-Gordon model in finite volume for $\be^2 < 2π$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_16404 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A simple construction of the sine-Gordon model via stochastic quantization Gubinelli, Massimiliano Hairer, Martin Oh, Tadahiro Zine, Younes Probability Mathematical Physics Analysis of PDEs 81T08, 60H15, 35K05, 35L71 We present a simple PDE construction of the sine-Gordon measure below the first threshold ($\be^2 < 4π$), in both the finite and infinite volume settings, by studying the corresponding parabolic sine-Gordon model. We also establish pathwise global well-posedness of the hyperbolic sine-Gordon model in finite volume for $\be^2 < 2π$. |
| title | A simple construction of the sine-Gordon model via stochastic quantization |
| topic | Probability Mathematical Physics Analysis of PDEs 81T08, 60H15, 35K05, 35L71 |
| url | https://arxiv.org/abs/2412.16404 |