From the Fokker-Planck equation to perturbative QFT's results in de Sitter space
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| Format: | Preprint |
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2025
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| _version_ | 1866908492523110400 |
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| author | Kamenshchik, Alexander Petriakova, Polina |
| author_facet | Kamenshchik, Alexander Petriakova, Polina |
| contents | A technique to build perturbative series for the spectator field's correlation functions in de Sitter space through the Fokker-Planck equation is proposed. We derive from the first-order differential equation the iterative integral relation for equal- and multi-time correlation functions. With an appropriate integration, the obtained two-point and four-point correlation functions are in agreement with quantum field theory's ones. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_20646 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | From the Fokker-Planck equation to perturbative QFT's results in de Sitter space Kamenshchik, Alexander Petriakova, Polina High Energy Physics - Theory General Relativity and Quantum Cosmology A technique to build perturbative series for the spectator field's correlation functions in de Sitter space through the Fokker-Planck equation is proposed. We derive from the first-order differential equation the iterative integral relation for equal- and multi-time correlation functions. With an appropriate integration, the obtained two-point and four-point correlation functions are in agreement with quantum field theory's ones. |
| title | From the Fokker-Planck equation to perturbative QFT's results in de Sitter space |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2504.20646 |