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The properties of two forms of the gradient expanded Kadanoff--Baym equations, i.e. the Kadanoff--Baym and Botermans-Malfliet forms, suitable to describe the transport dynamics of particles and resonances with broad spectral widths, are…

Nuclear Theory · Physics 2009-11-10 Yu. B. Ivanov , J. Knoll , D. N. Voskresensky

We show from first principles the emergence of classical Boltzmann equations from relativistic nonequilibrium quantum field theory as described by the Kadanoff-Baym equations. Our method applies to a generic quantum field, coupled to a…

High Energy Physics - Phenomenology · Physics 2012-12-20 Marco Drewes , Sebastian Mendizabal , Christoph Weniger

We use the full multiple scattering expansion of the retarded self-energy to obtain the gain and loss rates present in the Kadanoff-Baym relativistic transport equation. The rates we obtain include processes with any number of particles. As…

High Energy Physics - Phenomenology · Physics 2009-11-11 J. -S. Gagnon , F. Fillion-Gourdeau , S. Jeon

We derive quantum Boltzmann equations from Schwinger-Dyson equations in gradient expansion for a weakly coupled scalar field theory with a spatially varying mass. We find that at higher order in gradients a full description of the system…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Joyce , Kimmo Kainulainen , Tomislav Prokopec

Because of IR (pinch) singularities a resummation is necessary in non-equilibrium field theories, that can be performed by using Kadanoff--Baym equations. Taking Landau prescription correctly into account, Kadanoff--Baym equations reduce to…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. Jakovac

Starting from the Kadanoff-Baym relativistic transport equation and the multiple scattering expansion of the self-energy, we obtain the Boltzmann collision terms for any number of participating particles to all orders in perturbation theory…

High Energy Physics - Phenomenology · Physics 2009-11-11 F. Fillion-Gourdeau , J. -S. Gagnon , S. Jeon

We solve the Kadanoff-Baym equations for nonequilibrium initial configurations of the $\phi^4$-theory in 2+1 dimensions and compare to explicit solutions of generalized transport equations for the same theory. The latter transport equations…

Nuclear Theory · Physics 2009-11-10 S. Juchem , W. Cassing , C. Greiner

Interband effects such as coherence/tunneling have recently been shown to give an important contribution to the charge and heat transport properties under certain conditions. These can be captured by adding corrective terms to the…

Materials Science · Physics 2025-12-05 Elena Trukhan , Nakib H. Protik

We show that the nonperturbative transport equations, the so called `Kadanoff-Baym equations', within the non-equilibrium real time Green's function description can be be understood as the ensemble average over stochastic equations of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Carsten Greiner , Stefan Leupold

A recently developed method for incorporating initial binary correlations into the Kadanoff-Baym equations (KBE) is used to derive a generalized T-matrix approximation for the self-energies. It is shown that the T-matrix obtains additional…

Statistical Mechanics · Physics 2015-06-25 D. Semkat , D. Kremp , M. Bonitz

For a system of non-interacting electrons scattered by neutral impurities, we derive a modified Boltzmann equation that includes quasiparticle and virial corrections. We start from quasiclassical transport equation for non-equilibrium…

Disordered Systems and Neural Networks · Physics 2009-10-31 Václav Špička , Pavel Lipavský , Klaus Morawetz

In this paper, we analyze in a mathematically rigorous fashion the validity of the Boltzmann transport equation within quantum field theory. We work within the specific model of a hermitian, scalar field with polynomial self-interaction in…

Statistical Mechanics · Physics 2010-03-09 Stefan Hollands , Gregor Leiler

Recently, we presented a unified way of analysing classical cosmological perturbation in generalized gravity theories. In this paper, we derive the perturbation spectrums generated from quantum fluctuations again in unified forms. We…

General Relativity and Quantum Cosmology · Physics 2014-11-17 J. Hwang

The infinite dimensional generalization of the quantum mechanics of extended objects, namely, the quantum field theory of extended objects is employed to address the hitherto nonrenormalizable gravitational interaction following which the…

High Energy Physics - Theory · Physics 2009-09-25 Ramchander R. Sastry

Using the closed-time-path formalism, we construct perturbative frameworks, in terms of quasiparticle picture, for studying quasiuniform relativistic quantum field systems near equilibrium and non-equilibrium quasistationary systems. We…

High Energy Physics - Phenomenology · Physics 2009-11-10 H. Ozaki

This talk is a status report on our study of quantum transport equations relevant for baryogenesis computations. Our main finding is that, as a consequence of localization in space, the quasiparticle picture of the plasma dynamics breaks…

High Energy Physics - Phenomenology · Physics 2016-11-03 Michael Joyce , Kimmo Kainulainen , Tomislav Prokopec

The coupling between internal degrees of freedom of quantum systems and their overall motion in an external gravitational field plays a central role in multiple extensions of Einstein's equivalence principle to quantum physics. While…

General Relativity and Quantum Cosmology · Physics 2026-03-04 Thomas B. Mieling

We show that the nonperturbative quantum transport equations, the `Kadanoff-Baym equations', can be understood as the ensemble average over stochastic equations of Langevin type. For this we couple a free scalar boson quantum field to an…

High Energy Physics - Phenomenology · Physics 2017-08-23 C. Greiner , S. Leupold

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

Covariant generalizations of well-known wave equations predict the existence of inertial-gravitational effects for a variety of quantum systems that range from Bose-Einstein condensates to particles in accelerators. Additional effects arise…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. Papini
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