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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…

High Energy Physics - Theory · Physics 2022-10-05 Lavinia Heisenberg , Shayan Hemmatyar , Stefan Zentarra

We use the recently developed Kinetic Field Theory (KFT) for cosmic structure formation to show how non-linear power spectra for cosmic density fluctuations can be calculated in a mean-field approximation to the particle interactions. Our…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-23 Matthias Bartelmann , Johannes Dombrowski , Sara Konrad , Elena Kozlikin , Robert Lilow , Carsten Littek , Christophe Pixius , Felix Fabis

Kinetic Field Theory (KFT) is a statistical field theory for an ensemble of point-like classical particles in or out of equilibrium. We review its application to cosmological structure formation. Beginning with the construction of the…

In earlier work, we have developed a nonequilibrium statistical field theory description of cosmic structure formation, dubbed Kinetic Field Theory (KFT), which is based on the Hamiltonian phase-space dynamics of classical particles and…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-03 Robert Lilow , Felix Fabis , Elena Kozlikin , Celia Viermann , Matthias Bartelmann

In earlier work, we have developed a Kinetic Field Theory (KFT) for cosmological structure formation and showed that the non-linear density-fluctuation power spectrum known from numerical simulations can be reproduced quite well even if…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-13 Matthias Bartelmann , Felix Fabis , Elena Kozlikin , Robert Lilow , Johannes Dombrowski , Julius Mildenberger

Non-linear cosmic structures contain valuable information on the expansion history of the background space-time, the nature of dark matter, and the gravitational interaction. The recently developed kinetic field theory of cosmic structure…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-18 Alexander Oestreicher , Lodovico Capuano , Sabino Matarrese , Lavinia Heisenberg , Matthias Bartelmann

A new approach to cosmological perturbation theory has been recently introduced by Bartelmann et al., relying on nonequilibrium statistical theory of classical particles, and treating the gravitational interaction perturbatively. They…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Yacine Ali-Haïmoud

Building upon the recently developed formalism of Kinetic Field Theory (KFT) for cosmic structure formation by Bartelmann et al., we investigate a kinematic relationship between diffusion and gravitational interactions in cosmic structure…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-26 Johannes Dombrowski , Felix Fabis , Matthias Bartelmann

Recently, Bartelmann et al. presented a 'Kinetic Field Theory' (KFT) formalism to tackle the difficulties of large scale structure formation. In this approach, the dynamics of a non-equilibrium ensemble of classical particles are examined…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-20 Daniel Geiss , Robert Lilow , Felix Fabis , Matthias Bartelmann

We apply kinetic field theory to non-linear cosmic structure formation. Kinetic field theory decomposes the cosmic density field into particles and follows their trajectories through phase space. We assume that initial particle momenta are…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-24 Sara Konrad , Matthias Bartelmann

A previously proposed non-canonical coupled-perturbed Kohn-Sham density functional theory (KS-DFT)/Hartree-Fock (HF) treatment for spin-orbit coupling is here generalized to infinite periodic systems. The scalar-relativistic periodic…

We present a new analytical description of cosmic structure formation in a mixture of dark and baryonic matter, using the framework of Kinetic Field Theory (KFT) -- a statistical field theory for classical particle dynamics. So far, KFT has…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-03 Daniel Geiss , Ivan Kostyuk , Robert Lilow , Matthias Bartelmann

The dynamics of correlated systems is relevant in many fields ranging from cosmology to plasma physics. However, they are challenging to predict and understand even for classical systems due to the typically large numbers of particles…

A quantum field theoretic formulation of the dynamics of the Contact Process on a regular graph of degree z is introduced. A perturbative calculation in powers of 1/z of the effective potential for the density of particles phi(t) and an…

Statistical Mechanics · Physics 2016-08-16 Christophe Deroulers , Rémi Monasson

We show how kinetic theory, the statistics of classical particles obeying Newtonian dynamics, can be formulated as a field theory. The field theory can be organized to produce a self-consistent perturbation theory expansion in an effective…

Statistical Mechanics · Physics 2015-06-03 Shankar P. Das , Gene F. Mazenko

We review the effective field theories (EFTs) developed for few-nucleon systems. These EFTs are controlled expansions in momenta, where certain (leading-order) interactions are summed to all orders. At low energies, an EFT with only contact…

Nuclear Theory · Physics 2009-11-07 P. F. Bedaque , U. van Kolck

We investigate cosmic structure formation in the framework of a path-integral formulation of an $N$-particle ensemble in phase space, dubbed Resummed Kinetic Field Theory (RKFT), up to one-loop perturbative order. In particular, we compute…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-11 Marvin Sipp , Hannes Heisler , Matthias Bartelmann

Effective field theories have been successful in describing nuclei up to the alpha particle but face significant challenges for larger nuclei due to leading-order instabilities. These issues can be addressed with the introduction of a fake…

Nuclear Theory · Physics 2025-12-02 U. van Kolck

Guided by previous non-perturbative lattice simulations of a two-step electroweak phase transition, we reformulate the perturbative analysis of equilibrium thermodynamics for generic cosmological phase transitions in terms of effective…

High Energy Physics - Phenomenology · Physics 2023-09-06 Oliver Gould , Tuomas V. I. Tenkanen

We present a detailed comparison of the newly developed particle-based Kinetic Field Theory framework for cosmic large-scale structure formation with the established formalism of Eulerian Standard Perturbation Theory. We highlight the…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-14 Elena Kozlikin , Robert Lilow , Felix Fabis , Matthias Bartelmann
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