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A convenient form of kinetic equation is derived for pair annihilation of heavy stable particles relevant to the dark matter problem in cosmology. The kinetic equation thus derived extends the on-shell Boltzmann equation in a most…

High Energy Physics - Phenomenology · Physics 2009-10-31 Sh. Matsumoto , M. Yoshimura

Pair annihilation of heavy stable particle that occurs in the early universe is investigated, and quantum kinetic equation for the momentum distribution of the annihilating particle is derived, using the influence functional method. A…

High Energy Physics - Phenomenology · Physics 2009-10-31 Sh. Matsumoto , M. Yoshimura

We derive and analyze an effective quantum Boltzmann equation in the kinetic regime for the interactions of four distinguishable types of fermionic spin-$\frac{1}{2}$ particles, starting from a general quantum field Hamiltonian. Each…

Mathematical Physics · Physics 2015-03-09 Martin L. R. Fürst , Markus Kotulla , Christian B. Mendl , Herbert Spohn

Matsumoto and Yoshimura have recently argued that the number density of heavy particles in a thermal bath is not necessarily Boltzmann-suppressed for T << M, as power law corrections may emerge at higher orders in perturbation theory. This…

High Energy Physics - Phenomenology · Physics 2009-10-31 Patrizia Bucci , Massimo Pietroni

A rigorous treatment of light-matter interactions typically requires an interacting quantum field theory. However, most applications of interest are handled using classical or semiclassical models, which are valid only when quantum-field…

Quantum Gases · Physics 2024-12-20 J. L. Figueiredo , J. T. Mendonça , H. Terças

We investigate the possible effects that deviations from kinetic equilibrium can have on massive particles as they decouple from chemical equilibrium. Different methods of solving the Boltzmann equation yield significantly different relic…

Astrophysics · Physics 2009-10-31 Steen Hannestad

We derive quantum kinetic equations for fermions in a homogeneous time-dependent background in presence of decohering collisions, by use of the Schwinger-Keldysh CTP-formalism. The quantum coherence (between particles and antiparticles) is…

High Energy Physics - Phenomenology · Physics 2009-03-24 Matti Herranen , Kimmo Kainulainen , Pyry Matti Rahkila

Matsumoto and Yoshimura have recently argued that the number density of heavy particles in a thermal bath is not necessarily Boltzmann-suppressed for T<<M, as power law corrections may emerge at higher orders in perturbation theory. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Bucci , M. Pietroni

We study the abundance of a particle species in a thermalized plasma by introducing a quantum kinetic description based on the non-equilibrium effective action. A stochastic interpretation of quantum kinetics in terms of a Langevin equation…

High Energy Physics - Phenomenology · Physics 2009-11-10 D. Boyanovsky , K. Davey , C. M. Ho

Kinetic decoupling of dark matter typically happens much later than chemical freeze-out. In fact, local thermal equilibrium is an important assumption for the usual relic density calculations based on solving the Boltzmann equation (for its…

High Energy Physics - Phenomenology · Physics 2018-05-03 Tobias Binder , Torsten Bringmann , Michael Gustafsson , Andrzej Hryczuk

In quantum field theory, heavy particles with mass $M$ much greater than the temperature $T$ give not only effects suppressed by the Boltzmann factor $e^{-M/T}$, but also effects suppressed by powers of $T/M$. We show that power-suppressed…

High Energy Physics - Phenomenology · Physics 2009-10-31 Eric Braaten , Yu Jia

I discuss the validity of the quantum Boltzmann equation for the calculation of WIMP relic densities.

High Energy Physics - Phenomenology · Physics 2007-05-23 Mark Srednicki

We propose a novel approach in the study of transport phenomena in dense systems or systems with long range interactions where multiple particle interactions must be taken into consideration. Within Boltzmann's kinetic formalism, we study…

Classical Physics · Physics 2015-06-26 Travis J. Sherman , Johann Rafelski

Collective orders and photo-induced phase transitions in quantum matter can evolve on timescales which are orders of magnitude slower than the femtosecond processes related to electronic motion in the solid. Quantum Boltzmann equations can…

Strongly Correlated Electrons · Physics 2021-08-11 Antonio Picano , Jiajun Li , Martin Eckstein

We consider a cosmological scenario endowed with an interaction between the universe's dark components $-$ dark matter and dark energy. Specifically, we assume the dark matter component to be a pressure-less fluid, while the dark energy…

General Relativity and Quantum Cosmology · Physics 2021-08-03 Andronikos Paliathanasis , Genly Leon , Wompherdeiki Khyllep , Jibitesh Dutta , Supriya Pan

Weakly interacting massive particles are part of the lepton-photon plasma in the early universe until kinetic decoupling, after which time the particles behave like a collisionless gas with nonzero temperature. The Boltzmann equation for…

Astrophysics · Physics 2009-11-11 Edmund Bertschinger

We provide a general framework for self-interacting warm dark matter (WDM) in cosmological perturbations, by deriving from first principles a Boltzmann hierarchy which retains certain independence from a particular interaction Lagrangian.…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-28 Rafael Yunis , Carlos R. Argüelles , Diana López Nacir

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…

High Energy Physics - Theory · Physics 2025-09-03 Xu-Yao Hu , Vladimir Rosenhaus

We investigate the global dynamics of the universe within the framework of the Interacting Dark Matter (IDM) scenario. Considering that the dark matter obeys the collisional Boltzmann equation, we can obtain analytical solutions of the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Spyros Basilakos , Manolis Plionis

Traditional computations of the dark matter (DM) relic abundance, for models where attractive self-interactions are mediated by light force-carriers and bound states exist, rely on the solution of a coupled system of classical on-shell…

High Energy Physics - Phenomenology · Physics 2018-12-26 Tobias Binder , Laura Covi , Kyohei Mukaida
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