A Dynamical Yukawa$_{2}$ Model
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866911789793411072 |
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| author | Chandra, Ajay Hairer, Martin Peev, Martin |
| author_facet | Chandra, Ajay Hairer, Martin Peev, Martin |
| contents | We prove local (in space and time) well-posedness for a mildly regularised version of the stochastic quantisation of the Yukawa$_{2}$ Euclidean field theory with a self-interacting boson. Our regularised dynamic is still singular but avoids non-local divergences, allowing us to use a version of the Da Prato--Debussche argument. This model is a test case for a non-commutative probability framework for formulating the kind of singular SPDEs arising in the stochastic quantisation of field theories mixing both bosons and fermions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_07388 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Dynamical Yukawa$_{2}$ Model Chandra, Ajay Hairer, Martin Peev, Martin Probability Mathematical Physics Operator Algebras 81T08, 46L53, 60H15 We prove local (in space and time) well-posedness for a mildly regularised version of the stochastic quantisation of the Yukawa$_{2}$ Euclidean field theory with a self-interacting boson. Our regularised dynamic is still singular but avoids non-local divergences, allowing us to use a version of the Da Prato--Debussche argument. This model is a test case for a non-commutative probability framework for formulating the kind of singular SPDEs arising in the stochastic quantisation of field theories mixing both bosons and fermions. |
| title | A Dynamical Yukawa$_{2}$ Model |
| topic | Probability Mathematical Physics Operator Algebras 81T08, 46L53, 60H15 |
| url | https://arxiv.org/abs/2305.07388 |