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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

This is the first in a series of two papers. We use the Schwinger-Keldysh formalism to derive semiclassical Boltzmann transport equations for massive chiral fermions and scalar particles. Our considerations include complex mass terms and…

High Energy Physics - Phenomenology · Physics 2014-11-17 T. Prokopec , M. G. Schmidt , S. Weinstock

We review and extend to include the gauge fields our derivation of the semiclassical limit of the collisionless quantum transport equations for the fermions in presence of a CP-violating bubble wall at a first order electroweak phase…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kimmo Kainulainen , Tomislav Prokopec , Michael G. Schmidt , Steffen Weinstock

We present a derivation of a Boltzmann equation for the QCD plasma, starting from the quantum field equations. The derivation is based on a gauge covariant gradient expansion which takes consistently into account all possible dependences on…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jean-Paul Blaizot , Edmond Iancu

We derive the classical transport equation, in scalar field theory with a V(phi) interaction, from the equation of motion for the quantum field. We obtain a very simple, but iterative, expression for the effective action which generates all…

High Energy Physics - Theory · Physics 2009-10-30 F. T. Brandt , J. Frenkel , A. Guerra

This is the second in a series of two papers. While in Paper I we derive semiclassical Boltzmann transport equations and study their flow terms, here we address the collision terms. We use a model Lagrangean, in which fermions couple to…

High Energy Physics - Phenomenology · Physics 2014-11-17 T. Prokopec , M. G. Schmidt , S. Weinstock

We derive the Boltzmann equation for scalar fields using the Schwinger-Keldysh formalism. The focus lies on the derivation of the collision term. We show that the relevant self-energy diagrams have a factorization property. The collision…

High Energy Physics - Phenomenology · Physics 2009-11-11 Steffen Weinstock

Extracting macroscopic properties of a system from microscopic interactions has always been an interesting topic with the most diverse applications. Here, we use the quantum Boltzmann equation to investigate the density matrix evolution of…

High Energy Physics - Phenomenology · Physics 2021-06-15 Hassan Manshouri , Ahmad Hoseinpour , Moslem Zarei

We provide a description of interacting quantum fields in terms of density matrices for any occupation numbers in Fock space in a momentum basis. As a simple example, we focus on a real scalar field interacting with another real scalar…

High Energy Physics - Theory · Physics 2023-06-09 Christian Käding , Mario Pitschmann

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

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

Using the Schwinger-Keldysh technique, we derive the transport equations for a system of quantum scalar fields. We first discuss the general structure of the equations and then their collision terms. Taking into account up to three-loop…

High Energy Physics - Phenomenology · Physics 2009-11-10 Margaret E. Carrington , Stanislaw Mrowczynski

We introduce a new approach to density functional theory based on kinetic theory, showing that the Kohn-Sham equations can be derived as a macroscopic limit of a suitable Boltzmann kinetic equation in the limit of small mean free path…

Chemical Physics · Physics 2015-06-15 M. Mendoza , S. Succi , H. J. Herrmann

By coupling the Boltzmann transport equations of both quarkonium and open heavy quarks, we investigate their dynamical evolution inside the quark-gluon plasma and study quarkonium production in heavy ion collisions. The Boltzmann transport…

High Energy Physics - Phenomenology · Physics 2019-02-20 Xiaojun Yao , Weiyao Ke , Yingru Xu , Steffen Bass , Berndt Müller

Using the open quantum system formalism and effective field theory of QCD, we derive the Boltzmann transport equation of quarkonium inside the quark-gluon plasma. Our derivation illuminates that the success of transport equations in…

High Energy Physics - Phenomenology · Physics 2021-02-03 Xiaojun Yao , Weiyao Ke , Yingru Xu , Steffen A. Bass , Thomas Mehen , Berndt Müller

First order phase transitions in the early universe naturally lead to the production of a stochastic background of gravitational waves and to the generation of a matter-antimatter asymmetry. The dynamics of the phase transition is affected…

High Energy Physics - Phenomenology · Physics 2022-11-30 Stefania De Curtis , Luigi Delle Rose , Andrea Guiggiani , Ángel Gil Muyor , Giuliano Panico

A new density matrix and corresponding quantum kinetic equations are introduced for fermions undergoing coherent evolution either in time (coherent particle production) or in space (quantum reflection). A central element in our derivation…

High Energy Physics - Phenomenology · Physics 2009-02-02 Matti Herranen , Kimmo Kainulainen , Pyry Matti Rahkila

We discuss some recent developments made in the computation of the baryon asymmetry generated at the electroweak scale. We emphasize that the local number density asymmetries of the particles involved in supersymmetric electroweak…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Riotto

Energy-transport equations for the transport of fermions in optical lattices are formally derived from a Boltzmann transport equation with a periodic lattice potential in the diffusive limit. The limit model possesses a formal gradient-flow…

Analysis of PDEs · Mathematics 2017-04-11 Marcel Braukhoff , Ansgar Jüngel

New quantum modes of the free scalar field are derived in a special time-evolution picture that may be introduced in moving charts of de Sitter backgrounds. The wave functions of these new modes are solutions of the Klein-Gordon equation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ion I. Cotaescu , Cosmin Crucean , Adrian Pop
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