From path integral quantization to stochastic quantization: a pedestrian's journey
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866917391071444992 |
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| author | Benedetti, Dario Chevyrev, Ilya Gurau, Razvan |
| author_facet | Benedetti, Dario Chevyrev, Ilya Gurau, Razvan |
| contents | We give two novel proofs that the path integral and stochastic quantizations of generic scalar Euclidean quantum field theories are equivalent. Our proofs rely on Taylor interpolations indexed by forests, in the fashion of constructive field theory. The first proof works at the level of individual terms in the Feynman expansion, with the forests appearing as spanning forests in Feynman graphs. The second one works at the level of the path integral and avoids the full expansion of the Feynman perturbation series. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_10761 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | From path integral quantization to stochastic quantization: a pedestrian's journey Benedetti, Dario Chevyrev, Ilya Gurau, Razvan Mathematical Physics High Energy Physics - Theory Probability We give two novel proofs that the path integral and stochastic quantizations of generic scalar Euclidean quantum field theories are equivalent. Our proofs rely on Taylor interpolations indexed by forests, in the fashion of constructive field theory. The first proof works at the level of individual terms in the Feynman expansion, with the forests appearing as spanning forests in Feynman graphs. The second one works at the level of the path integral and avoids the full expansion of the Feynman perturbation series. |
| title | From path integral quantization to stochastic quantization: a pedestrian's journey |
| topic | Mathematical Physics High Energy Physics - Theory Probability |
| url | https://arxiv.org/abs/2603.10761 |