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We analyze a quantum kinetic equation describing both boson and fermion pair production and explore analytically and numerically the solution of the non-Markovian kinetic equation. In the Markovian limit of the kinetic equation we find an…

High Energy Physics - Phenomenology · Physics 2016-08-25 S. Schmidt , D. Blaschke , G. Ropke , A. V. Prozorkevich , S. A. Smolyansky , V. D. Toneev

We study particle - antiparticle pair production under action of a strong time dependent space homogeneous electric field at the presence of a collinear constant magnetic field. We derive the kinetic equation for a such field configuration…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. V. Tarakanov , A. V. Reichel , S. A. Smolyansky , S. M. Schmidt , D. V. Vinnik

Some field theoretical aspects, such as the effective action and Schwinger pair production, are critically reviewed in strong QED. The difference of the boundary conditions on the solutions of the field equation is discussed to result in…

High Energy Physics - Theory · Physics 2015-05-13 Sang Pyo Kim

In these lecture notes we give an introduction to the kinetic equation approach to pair production form the vacuum in strong, time-dependent external fields (dynamical Schwinger process). We first give a derivation of the kinetic equation…

High Energy Physics - Phenomenology · Physics 2017-04-14 D. B. Blaschke , S. A. Smolyansky , A. Panferov , L. Juchnowski

We study the real-time dynamics of fermions coupled to scalar fields in a linear sigma model, which is often employed in the context of preheating after inflation or as a low-energy effective model for quantum chromodynamics. We find a…

High Energy Physics - Phenomenology · Physics 2014-01-15 J. Berges , D. Gelfand , D. Sexty

We investigate the quantum Vlasov equation with a source term describing the spontaneous particle creation in strong fields. The back-reaction problem is treated by solving this kinetic equation together with the Maxwell equation which…

High Energy Physics - Phenomenology · Physics 2017-08-23 S. A. Smolyansky , V. A. Mizerny , A. V. Prozorkevich , D. V. Vinnik , V. D. Toneev

We solve the time evolution of the density matrix both for fermions and bosons in the presence of a homogeneous but time dependent external electric field. The number of particles produced by the external field, as well as their…

High Energy Physics - Theory · Physics 2009-10-28 Joakim Hallin , Per Liljenberg

We study two different initial conditions for fermions for the problem of pair production of fermions coupled to a classical electromagnetic field with backreaction in \oneplusone boost-invariant coordinates. Both of these conditions are…

High Energy Physics - Phenomenology · Physics 2009-01-08 Bogdan Mihaila , John F. Dawson , Fred Cooper

The fermion particle pair production in strong SU(2) gauged chromoelectric fields is studied by using Boltzmann-Vlasov equation in a classical way. The existence of pre-production process in a classical description is shown with the…

High Energy Physics - Phenomenology · Physics 2016-05-24 M. R. Jia , Z. L. Li , C. Lv , F. Wan , B. S. Xie

We present a method to semiclassically compute the pair creation rate of bosons and fermions in de Sitter spacetime. The results in the bosonic case agree with the ones in the literature. We find that for the constant electric field the…

High Energy Physics - Theory · Physics 2016-01-20 Clément Stahl , Eckhard Strobel

We derive quantum kinetic equations for fermion and boson production starting from a phi^4 Lagrangian with minimal coupling to fermions. Decomposing the scalar field into a mean-field part and fluctuations we obtain spontaneous pair…

We develop methods for computing the dynamics of fermion pair production by strong color electric fields using the semi-classical Boltzmann-Vlasov equation. We present numerical results for a model with SU(2) symmetry in (1+1) dimension.

High Energy Physics - Phenomenology · Physics 2010-04-14 John F. Dawson , Bogdan Mihaila , Fred Cooper

Based on the quantum mechanical scattering model, the dynamical assist effect and the multiple-slit interference effect in electron-positron pair production from vacuum are generalized to vacuum pair production of charged scalar bosons. For…

Quantum Physics · Physics 2013-12-11 Zi-Liang Li , Ding Lu , Bai-Song Xie

We study the fermion pair production from a strong electric field in boost-invariant coordinates in (3+1) dimensions and exploit the cylindrical symmetry of the problem. This problem has been used previously as a toy model for populating…

High Energy Physics - Phenomenology · Physics 2014-11-18 Bogdan Mihaila , Fred Cooper , John F. Dawson

We describe aspects of particle creation in strong fields using a quantum kinetic equation with a relaxation-time approximation to the collision term. The strong electric background field is determined by solving Maxwell's equation in…

Nuclear Theory · Physics 2007-05-23 A. V. Prozorkevich , D. V. Vinnik , S. M. Schmidt , M. B. Hecht , C. D. Roberts

The stochastic quantization of the fermion field is performed starting from Dirac equations. The statistical properties of stochastic terms in Langevin equations are described by explicit formulae of a Markov process. The interaction of the…

High Energy Physics - Theory · Physics 2007-05-23 Jan Ridky

We solve the quantum Vlasov equation for fermions and bosons, incorporating spontaneous pair creation in the presence of back-reactions and collisions. Pair creation is initiated by an external impulse field and the source term is…

Fermion-antifermion pair-production in the presence of classical fields is described based on the retarded and advanced fermion propagators. They are obtained by solving the equation of motion for the Dirac Green's functions with the…

High Energy Physics - Theory · Physics 2009-11-10 Dennis. D. Dietrich

Nonequilibrium instabilities are known to lead to exponential amplification of boson occupation numbers for low momentum modes on time scales much shorter than the asymptotic thermal equilibration time. We show for Yukawa-type interactions…

High Energy Physics - Phenomenology · Physics 2009-09-02 J. Berges , J. Pruschke , A. Rothkopf

We start from a Hamiltonian describing non-interacting fermions and add bosons to the model, with a Jaynes-Cummings-like interaction between the bosons and fermions. Because of the specific form of the interaction the model can be solved…

Strongly Correlated Electrons · Physics 2015-05-18 Tobias Verhulst , Jan Naudts
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