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We calculate the Wigner function for massive spin-1/2 particles in an inhomogeneous electromagnetic field to leading order in the Planck constant $\hbar$. Going beyond leading order in $\hbar$ we then derive a generalized Boltzmann equation…

High Energy Physics - Phenomenology · Physics 2019-10-02 Nora Weickgenannt , Xin-li Sheng , Enrico Speranza , Qun Wang , Dirk H. Rischke

The effects of interpreting classical phase space distributions as Wigner functions, which is common in models of multiparticle production, are discussed. The temperature for the classical description is always higher than that for its…

High Energy Physics - Phenomenology · Physics 2009-04-22 K. Zalewski

The process of electron positron pair annihilation, driven by strong fields (Inverse Schwinger mechanism) and high-frequency waves, is studied using the Dirac Heisenberg Wigner formalism. In an electron positron plasma, the presence of a…

Plasma Physics · Physics 2025-05-30 Haidar Al-Naseri

The pair production of scalar particles in electromagnetic background fields is analyzed using real proper time formulation of 1-loop effective action. After explaining how real proper time formulation keeps unitarity of the particle…

High Energy Physics - Theory · Physics 2023-09-12 Cihan Pazarbaşı

In this paper, we study Schwinger pair production of charged massless particles in constant electric fields of finite-extent. Exploiting a map from the Dirac and Klein-Gordon equation to the harmonic oscillator, we find exact pair…

High Energy Physics - Theory · Physics 2017-11-10 David A. McGady , Jon Brogård

Recently a paper on the construction of consistent Wigner functions for cylindrical phase spaces S^1 x R, i.e. for the canonical pair angle and angular momentum, was presented (arXiv:1601.02520), main properties of those functions derived,…

Quantum Physics · Physics 2017-05-19 H. A. Kastrup

Schwinger pair production in some of space-dependent electromagnetic fields is studied analytically by using worldline instantons formalism for scalar quantum electrodynamics. With the increase of the modified Keldysh parameter…

High Energy Physics - Phenomenology · Physics 2022-10-26 Orkash Amat , Li-Na Hu , Adiljan Sawut , Melike Mohamedsedik , M. A. Bake , B. S. Xie

We develop a general formalism for the quantum kinetics of chiral fermions in a background electromagnetic field based on a semiclassical expansion of covariant Wigner functions in the Planck constant $\hbar$. We demonstrate to any order of…

High Energy Physics - Phenomenology · Physics 2018-09-12 Jian-Hua Gao , Zuo-Tang Liang , Qun Wang , Xin-Nian Wang

A quantum kinetic equation has been derived for the description of pair production in a time-dependent homogeneous electric field $E(t)$. As a source term, the Schwinger mechanism for particle creation is incorporated. Possible particle…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. A. Smolyansky , G. Roepke , S. Schmidt , D. Blaschke , V. D. Toneev , A. V. Prozorkevich

The quantum vacuum is unstable under the influence of an external electric field and decays into pairs of charged particles, a process which is known as the Schwinger pair production. We propose and demonstrate that this electric field can…

Quantum Physics · Physics 2015-06-23 Zahra Ebadi , Behrouz Mirza

We study how the mass and magnetic moment of the quarks are dynamically generated in nonequilibrium quark matter. We derive the equal-time transport and constraint equations for the quark Wigner function in a magnetized quark model and…

High Energy Physics - Theory · Physics 2019-03-29 Shijun Mao , Dirk H. Rischke

We investigate the phenomenon of electron-positron pair production from vacuum in the presence of a strong electric field superimposed by a weak but fast varying pulse which substantially increases the total particle yield. We employ a…

High Energy Physics - Phenomenology · Physics 2018-06-13 I. A. Aleksandrov , G. Plunien , V. M. Shabaev

The rate of electron-positron pair production in linearly polarized counter-propagating lasers is evaluated from a recently discovered solution of the time-dependent Dirac equation. The latter is solved in momentum space where it is…

High Energy Physics - Phenomenology · Physics 2012-10-01 François Fillion-Gourdeau , Emmanuel Lorin , André D. Bandrauk

In this paper we study QED on the noncommutative space in the constant electro-magnetic field background. Using the explicit solutions of the noncommutative version of Dirac equation in such background, we show that there are well-defined…

High Energy Physics - Theory · Physics 2009-10-07 N. Chair , M. M. Sheikh-Jabbari

We consider the general Wigner function for a particle confined to a finite interval and subject to Dirichlet boundary conditions. We derive the boundary corrections to the "star-genvalue" equation and to the time evolution equation. These…

Quantum Physics · Physics 2015-06-26 Nuno Costa Dias , Joao Nuno Prata

We reformulate time evolution of systems in mixed states in terms of the classical observables of correlators using the Weyl correspondence rule. The resulting equation of motion for the Wigner functional of the density matrix is found to…

High Energy Physics - Theory · Physics 2007-05-23 Herbert Nachbagauer

We calculate exactly the rate of pair production of open bosonic and supersymmetric strings in a constant electric field. The rate agrees with Schwinger's classic result in the weak-field limit, but diverges when the electric field…

High Energy Physics - Theory · Physics 2009-10-22 C. Bachas , M. Porrati

Schwinger pair production in spatially and temporally inhomogeneous electric and magnetic fields is studied. The focus is on the particle phase-space distribution within a high-intensity few-cycle pulse. Accurate numerical solutions of a…

Quantum Physics · Physics 2018-06-26 Christian Kohlfürst

We study, for the first time, the Schwinger mechanism for the pair production of charged scalars in the presence of an arbitrary time-dependent background electric field E(t) by by directly evaluating the path integral. We obtain an exact…

High Energy Physics - Theory · Physics 2007-05-23 Fred Cooper , Gouranga C. Nayak

Notwithstanding radical conceptual differences between classical and quantum mechanics, it is usually assumed that physical measurements concern observables common to both theories . Not so with the eigenvalues ($\pm 1$) of the parity…

Quantum Physics · Physics 2009-11-10 A. M. Ozorio de Almeida , O. Brodier
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