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Beyond the Boltzmann equation for weakly coupled quantum fields
by
Xu-Yao, Hu
, Rosenhaus, Vladimir
in
Boltzmann transport equation
/ Kinetic equations
/ Kinetic theory
/ Scattering
2025
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Beyond the Boltzmann equation for weakly coupled quantum fields
by
Xu-Yao, Hu
, Rosenhaus, Vladimir
in
Boltzmann transport equation
/ Kinetic equations
/ Kinetic theory
/ Scattering
2025
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Beyond the Boltzmann equation for weakly coupled quantum fields
Paper
Beyond the Boltzmann equation for weakly coupled quantum fields
2025
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Overview
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.
Publisher
Cornell University Library, arXiv.org
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