A BBGKY-like Hierarchy for Quantum Field Theories
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915190199549952 |
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| author | Updike, Michael Burby, Joshua |
| author_facet | Updike, Michael Burby, Joshua |
| contents | We present a Hamiltonian method of constructing BBGKY-like hierarchies for quantum field theories. With suitable choices, our method creates a hierarchical system of evolution equations for the k-th order reduced density matrices. These equations can be closed at finite order using methods developed for the classical BBGKY hierarchy to give non-perturbative approximations for the full quantum equations of motion. Classical observables can then be numerically computed from these approximate equations, providing an analytically tractable method of modeling high-energy environments where quantum effects play a pronounced role. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2310_10940 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A BBGKY-like Hierarchy for Quantum Field Theories Updike, Michael Burby, Joshua Mathematical Physics High Energy Physics - Theory Plasma Physics We present a Hamiltonian method of constructing BBGKY-like hierarchies for quantum field theories. With suitable choices, our method creates a hierarchical system of evolution equations for the k-th order reduced density matrices. These equations can be closed at finite order using methods developed for the classical BBGKY hierarchy to give non-perturbative approximations for the full quantum equations of motion. Classical observables can then be numerically computed from these approximate equations, providing an analytically tractable method of modeling high-energy environments where quantum effects play a pronounced role. |
| title | A BBGKY-like Hierarchy for Quantum Field Theories |
| topic | Mathematical Physics High Energy Physics - Theory Plasma Physics |
| url | https://arxiv.org/abs/2310.10940 |