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Related papers: Deriving Boltzmann Equations from Kadanoff-Baym Eq…

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We derive the 3D spatially homogeneous Boltzmann's equation with moderately soft potentials and singular angular interaction, from an interacting particles system. The collision kernel is of the form $B(z,\sigma)=|z|^{\gamma}b\left(…

Analysis of PDEs · Mathematics 2020-12-11 Samir Salem

In the perturbation theory, trasnport phenomena in hot non-Abelian gauge theories like QCD are often plagued with infrared singularities or nonperturbative effects. We show, in the context of the Kadanoff & Baym formalism, that there are…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yoshitaka Hatta

The mechanism behind the generation of the baryon asymmetry of the Universe (BAU) is one of the biggest open questions of (astro-)particle physics. Popular mechanisms to generate the observed baryon asymmetry include CP-violating…

High Energy Physics - Phenomenology · Physics 2024-08-19 Mathias Becker , Kåre Fridell , Julia Harz , Chandan Hati

The semiclassical Boltzmann equation is widely used to study transport effects. However, being semiclassical and borrowing heavily from classical mechanics, the formalism calls for verification from the perspective of quantum mechanics.…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Da Ma , Zhi-Fan Zhang , Hua Jiang , X. C. Xie

We propose a simple model in which the baryon asymmetry and dark matter are created via the decays and inverse decays of QCD-triplet scalars, at least one of which must be in the TeV mass range. Singlet fermions produced in these decays…

High Energy Physics - Phenomenology · Physics 2020-07-01 Brian Shuve , David Tucker-Smith

In this paper, we study the polyatomic Boltzmann equation based on continuous internal energy, focusing on physically relevant collision kernels of the hard potentials type with integrable angular part. We establish three main results:…

Analysis of PDEs · Mathematics 2025-10-14 Ricardo Alonso , Milana Čolić

It has been recently shown that quantum Boltzman equations may be relevant for leptogenesis. Quantum effects, which lead to a time-dependent CP asymmetry, have been shown to be particularly important for resonant leptogenesis when the…

High Energy Physics - Phenomenology · Physics 2009-03-20 Chee Sheng Fong , M. C. Gonzalez-Garcia

In many phenomenologically interesting models of thermal leptogenesis the heavy neutrinos are non-relativistic when they decay and produce the baryon asymmetry of the Universe. We propose a non-relativistic approximation for the…

High Energy Physics - Phenomenology · Physics 2015-06-17 Dietrich Bodeker , Mirco Wormann

We propose a framework of baryogenesis and leptogenesis that relies on a supercooled confining phase transition (PT) in the early universe. The baryon or lepton asymmetry is sourced by decays of hadrons of the strong dynamics after the PT,…

High Energy Physics - Phenomenology · Physics 2024-01-25 Maximilian Dichtl , Jacopo Nava , Silvia Pascoli , Filippo Sala

Linear cosmological observables can be used to probe elastic scattering of dark matter (DM) with baryons. Availability of high-precision data requires a critical reassessment of any assumptions that may impact the accuracy of constraints.…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-02 Suroor Seher Gandhi , Yacine Ali-Haïmoud

We use the 2PI effective action of a relativistic scalar field theory to derive kinetic equations for a Bose-condensed system near the phase transition.We start from equations of motion derived within a 1/N-expansion at NLO. In taking the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Baier , T. Stockamp

We revisit techniques for performing cosmological simulations with both baryons and cold dark matter when each fluid has different initial conditions, as is the case at the end of the radiation era. Most simulations do not reproduce the…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-17 Simeon Bird , Yu Feng , Christian Pedersen , Andreu Font-Ribera

This work is concerned with the generation of decay estimates in the velocity variable for solutions of the space-inhomogeneous Boltzmann equation without cutoff on a bounded spatial domain for hard and moderately soft potentials. We work…

Analysis of PDEs · Mathematics 2026-04-28 Cyril Imbert , Amélie Loher

In the Hermite-expansion-based multiple-relaxation-time lattice Boltzmann (LB) model [Shan & Chen, Int. J. Mod. Phys. C, 18, 635, (2007)], a separate relaxation time is assigned to each of the tensorial moments of the collision term. Here…

Computational Physics · Physics 2021-05-05 Xuhui Li , Xiaowen Shan

This paper considers a system of Boltzmann equations modelling the mixture of monatomic and polyatomic gases in an $L^{2}-L^{\infty}$ perturbation theory around global modified Maxwellians accounting for the internal energy of the mixture…

Analysis of PDEs · Mathematics 2025-11-20 Ricardo Alonso , Zongguang Li

A novel mechanism of baryogenesis is proposed on the basis of the phase transition from the conformal invariant space-time to the Einstein space-time in quantum gravity. Strong-coupling gravitational excitations with dynamical mass about…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ken-ji Hamada , Azusa Minamizaki , Akio Sugamoto

The Boltzmann equation is studied without the cutoff assumption. Under a perturbative setting, a unique global solution of the Cauchy problem of the equation is established in a critical Chemin-Lerner space. In order to analyse the…

Analysis of PDEs · Mathematics 2015-12-03 Yoshinori Morimoto , Shota Sakamoto

Baryon asymmetry of the universe is generated in the supersymmetric standard model (SSM) through the charge transport mechanism mediated by top squarks. Necessary CP violation originates from a complex phase contained in mass-squared…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mayumi Aoki , Noriyuki Oshimo

In TeV scale B-L extension of the standard model with inverse seesaw, the Yukawa coupling of right-handed neutrinos can be of order one. This implies that the out of equilibrium condition for leptogenesis within standard cosmology is not…

High Energy Physics - Phenomenology · Physics 2015-05-07 W. Abdallah , D. Delepine , S. Khalil

We derive a general formula for the early time dependence of a phase space distribution evolving according to the kinetic Boltzmann equation. Assuming that the early evolution of the system created in high-energy nuclear collisions can be…

Nuclear Theory · Physics 2022-06-15 Marc Borrell , Nicolas Borghini
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