Beyond the Boltzmann equation for weakly coupled quantum fields
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914016684670976 |
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| author | Hu, Xu-Yao Rosenhaus, Vladimir |
| author_facet | Hu, Xu-Yao Rosenhaus, Vladimir |
| contents | We study the kinetic theory of a weakly interacting quantum field. Assuming a state that is close to homogeneous and stationary, we derive a closed kinetic equation for the rate of change of the occupation numbers, perturbatively in the coupling. For a dilute gas, this reproduces the quantum Boltzmann equation, which only accounts for two-to-two scattering processes. Our expression goes beyond this, with terms accounting for multi-particle scattering processes, which are higher order in the density. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_09932 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Beyond the Boltzmann equation for weakly coupled quantum fields Hu, Xu-Yao Rosenhaus, Vladimir High Energy Physics - Theory Statistical Mechanics High Energy Physics - Phenomenology Fluid Dynamics We study the kinetic theory of a weakly interacting quantum field. Assuming a state that is close to homogeneous and stationary, we derive a closed kinetic equation for the rate of change of the occupation numbers, perturbatively in the coupling. For a dilute gas, this reproduces the quantum Boltzmann equation, which only accounts for two-to-two scattering processes. Our expression goes beyond this, with terms accounting for multi-particle scattering processes, which are higher order in the density. |
| title | Beyond the Boltzmann equation for weakly coupled quantum fields |
| topic | High Energy Physics - Theory Statistical Mechanics High Energy Physics - Phenomenology Fluid Dynamics |
| url | https://arxiv.org/abs/2503.09932 |