Discrete Dyson-Schwinger equations
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917544819949568 |
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| author | Frasca, Marco |
| author_facet | Frasca, Marco |
| contents | We develop the discrete set of Dyson-Schwinger equations for scalar fields and solve them for some cases. We show that their solutions are Gaussian in the continuum limit as expected from the theorems of Aizenman and of Aizenman and Duminil-Copin for $d\ge 4$. Extension to lower dimensionality fails, as it should, by observing that the triviality theorems used in our proof are not applicable in such cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_17860 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Discrete Dyson-Schwinger equations Frasca, Marco Mathematical Physics High Energy Physics - Phenomenology High Energy Physics - Theory We develop the discrete set of Dyson-Schwinger equations for scalar fields and solve them for some cases. We show that their solutions are Gaussian in the continuum limit as expected from the theorems of Aizenman and of Aizenman and Duminil-Copin for $d\ge 4$. Extension to lower dimensionality fails, as it should, by observing that the triviality theorems used in our proof are not applicable in such cases. |
| title | Discrete Dyson-Schwinger equations |
| topic | Mathematical Physics High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.17860 |