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We review the mechanism of electroweak baryogenesis. Our focus is on the derivation of quantum transport equations from first principles within the Schwinger-Keldysh formalism. We emphasize the importance of the semiclassical force…

High Energy Physics - Phenomenology · Physics 2013-10-25 Thomas Konstandin

In this paper we complete the program initiated by the first and second authors and rigorously derive a Boltzmann-type equation that incorporates higher order collisions among gas particles. More precisely, starting from a finite…

Analysis of PDEs · Mathematics 2024-09-11 Ioakeim Ampatzoglou , Nataša Pavlović , William Warner

We derive transport equations for fermions and bosons in spatially or temporally varying backgrounds with special symmetries, by use of the Schwinger-Keldysh formalism. In a noninteracting theory the coherence information is shown to be…

High Energy Physics - Phenomenology · Physics 2014-11-18 Matti Herranen , Kimmo Kainulainen , Pyry M. Rahkila

First order phase transitions could play a major role in the early universe, providing important phenomenological consequences, such as the production of gravitational waves and the generation of baryon asymmetry. An important aspect that…

High Energy Physics - Phenomenology · Physics 2022-05-25 Stefania De Curtis , Luigi Delle Rose , Andrea Guiggiani , Ángel Gil Muyor , Giuliano Panico

Quantum cascade lasers can be modeled within a hierarchy of different approaches: Standard rate equations for the electron densities in the levels, semiclassical Boltzmann equation for the microscopic distribution functions, and quantum…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 A. Wacker , S. -C. Lee , M. F. Pereira

We derive the quantum Boltzmann equation (QBE) of composite fermions at/near the $\nu = 1/2$ state using the non-equilibrium Green's function technique. The lowest order perturbative correction to the self-energy due to the strong gauge…

Condensed Matter · Physics 2009-10-28 Yong Baek Kim , Patrick A. Lee , Xiao-Gang Wen

We derive Boltzmann equations for massive spin-1/2 fermions with local and nonlocal collision terms from the Kadanoff--Baym equation in the Schwinger--Keldysh formalism, properly accounting for the spin degrees of freedom. The Boltzmann…

Nuclear Theory · Physics 2021-08-04 Xin-Li Sheng , Nora Weickgenannt , Enrico Speranza , Dirk H. Rischke , Qun Wang

We present a new method to derive transport equations for quantum many-particle systems. This method uses an equation-of-motion technique and is applicable to systems with bosons and fermions, arbitrary interactions and time-dependent…

Statistical Mechanics · Physics 2009-10-28 J. Fricke

Using the Schwinger-Keldysh technique we discuss how to derive the transport equations for the system of massless quantum fields. We analyse the scalar field models with quartic and cubic interaction terms. In the $\phi^4$ model the massive…

High Energy Physics - Theory · Physics 2014-11-18 Stanislaw Mrowczynski

The particle production in the intermediate energy heavy ion collisions is discussed in the framework of the nonequilibrium Green's functions formalism. The evolution equations of the Green's functions for fermions allows for the discussion…

Nuclear Theory · Physics 2008-11-26 P. Bozek

We investigate the transport behavior of finite modular quantum systems. Such systems have recently been analyzed by different methods. These approaches indicate diffusive behavior even and especially for finite systems. Inspired by these…

Statistical Mechanics · Physics 2009-11-13 Mehmet Kadiroglu , Jochen Gemmer

The transport coefficients for a gas of smooth, inelastic hard spheres are obtained from the Boltzmann equation in the form of Green-Kubo relations. The associated time correlation functions are not simply those constructed from the fluxes…

Statistical Mechanics · Physics 2015-06-24 James W. Dufty , J. Javier Brey

We study the macroscopic transport properties of the quantum Lorentz gas in a crystal with short-range potentials, and show that in the Boltzmann-Grad limit the quantum dynamics converges to a random flight process which is not compatible…

Mathematical Physics · Physics 2021-08-18 Jory Griffin , Jens Marklof

A bottom-up Einstein-Maxwell-Dilaton holographic model is used to compute, for the first time, the behavior of several transport coefficients of the hot and baryon-rich strongly coupled quark-gluon plasma at the critical point and also…

We revisit and extend the calculation of the density matrix and entanglement entropy of a Color Glass Condensate by including the leading saturation corrections in the calculation. We show that the density matrix is diagonal in the quasi…

High Energy Physics - Phenomenology · Physics 2022-03-23 Haowu Duan , Alex Kovner , Vladimir V. Skokov

We study the evolution of a quantum particle interacting with a random potential in the low density limit (Boltzmann-Grad). The phase space density of the quantum evolution defined through the Husimi function converges weakly to a linear…

Mathematical Physics · Physics 2009-11-10 David Eng , Laszlo Erdos

A model of scalar gluons and scalar quarks that successfully gives a ln s behavior in high energy qq scattering and which contains a three gluon vertex is used to derive transport equations for the quarks and gluons. Quasiparticle and…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. S. Isert , S. P. Klevansky

Any practical application of the Schwinger-Dyson equations to the study of $n$-point Green's functions of a field theory requires truncations, the best known being finite order perturbation theory. Strong coupling studies require a…

Nuclear Theory · Physics 2017-03-29 Shaoyang Jia , M. R. Pennington

Using a Lagrangian which contains quarks as elementary degrees of freedom and mesons as bound states, a transport formalism is developed, which allows for a dynamical transition from a quark plasma to a state, where quarks are bound into…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Rehberg

In a time dependent background like de Sitter space, Feynman-Dyson perturbation theory breaks down due to infra-red divergences. We investigate an interacting scalar field theory in Schwinger-Keldysh formalism. We derive a Boltzmann…

High Energy Physics - Theory · Physics 2010-10-19 Hiroyuki Kitamoto , Yoshihisa Kitazawa