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Article overview
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Kinetic Field Theory: Higher-Order Perturbation Theory | Lavinia Heisenberg
; Shayan Hemmatyar
; Stefan Zentarra
; | Date: |
21 Jul 2022 | Abstract: | We give a detailed exposition of the formalism of Kinetic Field Theory (KFT)
with emphasis on the perturbative determination of observables. KFT is a
statistical non-equilibrium classical field theory based on the path integral
formulation of classical mechanics, employing the powerful techniques developed
in the context of quantum field theory to describe classical systems. Unlike
previous work on KFT, we perform the integration over the probability
distribution of initial conditions in the very last step. This significantly
improves the clarity of the perturbative treatment and allows for physical
interpretation of intermediate results. We give an introduction to the general
framework, but focus on the application to interacting $N$-body systems.
Specializing the results to cosmic structure formation, we reproduce the linear
growth of the cosmic density fluctuation power spectrum on all scales from
microscopic, Newtonian particle dynamics alone. | Source: | arXiv, 2207.10504 | Services: | Forum | Review | PDF | Favorites |
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