Pair production in the quantum Boltzmann equation

Rau, Jochen

doi:10.1103/physrevd.50.6911

Cited by 35 publications

(67 citation statements)

References 33 publications

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“…4(a), in which oscillatory behavior appears. Similar oscillatory source term has been obtained also in [34,[38][39][40]. It will be convenient for a latter discussion to express the source term using the Bogoliubov coef- …”

Section: Pure Electric Fieldmentioning

confidence: 80%

“…A considerable number of studies on pair creation in flux tubes have followed shifting its stage from e þ e À collisions to heavy-ion collisions; the Lund model [23], finite-time corrections [24], finite-size corrections for longitudinal direction (the direction of the electric field) [25,26] and for transverse direction [27][28][29], perturbation around a background field [30] and effects of back reaction [31][32][33][34]. Furthermore, kinetic equations incorporating pair creation from backgrounds have been investigated based on semi-classical theory [35][36][37] and quantum field theory [38][39][40][41][42][43].…”

Section: Introductionmentioning

confidence: 99%

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Dynamical view of pair creation in uniform electric and magnetic fields

2009

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Pair creation in a uniform classical electromagnetic field (Schwinger mechanism) is studied focusing on the time evolution of the distribution of created particles. The time evolution of the distribution in time-dependent fields is also presented as well as effects of back reaction. Motivated by the Glasma flux tube, which may be formed at the initial stage of heavy-ion collisions, we investigate effects of a magnetic field parallel to an electric field, and find that the magnetic field makes the evolution of a fermion system faster.Comment: 57pages, 44figures. v2: typos corrected, references added, to appear in Ann.Phy

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Section: Pure Electric Fieldmentioning

confidence: 80%

Section: Introductionmentioning

confidence: 99%

Dynamical view of pair creation in uniform electric and magnetic fields

2009

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“…Recently in Ref. 6 , a kinetic equation similar to (34) has been derived within a projection operator formalism for the case of a time-independent electric field where it was first noted that this source term has non-Markovian character. As well as in this method the multiple pair creation is not considered.…”

Section: Creation Of Fermion Pairsmentioning

confidence: 99%

A Quantum Kinetic Equation for Particle Production in the Schwinger Mechanism

Schmidt

Blaschke

Röpke

et al. 1998

Int. J. Mod. Phys. E

224

279

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A quantum kinetic equation is derived for the description of pair production in a timedependent homogeneous electric field E(t). As a source term, the Schwinger mechanism for particle creation is incorporated. Possible particle production due to collisions and collisional damping are neglected. The main result is a kinetic equation of non-Markovian character. In the low density approximation, the source term is reduced to the leading part of the well known Schwinger formula for the probability of pair creation. We discuss the momentum and time dependence of the derived source term and compare with other approaches. *

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“…For QED in an external field it has been studied via mean field methods and using a quantum Vlasov equation with a Schwinger-like source term [2]. Collisions between the particles damp the plasma oscillations and are necessary to equilibrate the plasma, and their effect has been modelled in the Vlasov equation approach [3][4][5][6].For strong fields, non-Markovian aspects of the particle production mechanism are very important [7,[9][10][11]. Herein we emphasise this, using a relativistic transport equation with the non-Markovian source term derived in Refs.…”

mentioning

confidence: 99%

“…For strong fields, non-Markovian aspects of the particle production mechanism are very important [7,[9][10][11]. Herein we emphasise this, using a relativistic transport equation with the non-Markovian source term derived in Refs.…”

mentioning

confidence: 99%

Memory effects and thermodynamics in strong field plasmas

2000

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We study the evolution of a strong field plasma using a quantum Vlasov equation with a nonMarkovian source term and a simple collision term, and calculate the time dependence of the energy-and number-density, and the temperature. The evolution of a plasma produced with RHIClike initial conditions is well described by a low density approximation to the source term. However, non-Markovian aspects should be retained to obtain an accurate description of the early stages of an LHC-like plasma.Preprint Number: ANL-PHY-9434-TH-99, Pacs Numbers: 12.38. Mh, 25.75.Dw, 05.20.Dd, 05.60.Gg At extreme temperature, hadronic matter undergoes a phase transition to an equilibrated quark gluon plasma.Estimates from phenomenological models and lattice-QCD indicate a critical temperature for this transition: T c ∼ 170 MeV, which corresponds to an energy density of 2-3 GeV/fm 3 . It is hoped that this plasma will be produced at the Relativistic Heavy-Ion Collider (RHIC) and/or the Large Hadron Collider (LHC) [1]. However, little is currently understood about the formation, equilibration and hadronisation of the plasma, and herein we focus on dynamical aspects of the pre-equilibrium phase.We employ a flux-tube model to explore the creation of a strong-field plasma and follow its evolution towards equilibrium. The model assumes that the collision of two heavy nuclei produces a strong background field and a region of high energy density, which decays via pair emission. The particles produced in this process are accelerated by the background field, providing a current and a field that opposes the background field. This is the backreaction process, which may result in plasma oscillations. For QED in an external field it has been studied via mean field methods and using a quantum Vlasov equation with a Schwinger-like source term [2]. Collisions between the particles damp the plasma oscillations and are necessary to equilibrate the plasma, and their effect has been modelled in the Vlasov equation approach [3][4][5][6].For strong fields, non-Markovian aspects of the particle production mechanism are very important [7,[9][10][11]. Herein we emphasise this, using a relativistic transport equation with the non-Markovian source term derived in Refs. [8][9][10] and explored in Refs. [11,12]. We apply it with impact energy densities of the scales anticipated at RHIC and LHC, and study the time evolution of the plasma's properties.We model the effect of the nucleus-nucleus collision by an external, spatially-homogeneous, time-dependent Coulomb-gauge vector potential, which defines the longitudinal direction: A µ = (0, 0, 0, A(t)). The kinetic equation describing fermion production in this external field is [8] where, in contrast to the Schwinger production rate, the source term here is momentum-and time-dependent:E(t) = −dA(t)/dt and e is an electric charge, with the dynamical phase and total energy, respectively,where ε ⊥ = m 2 + p 2 ⊥ is the transverse energy. m 2 ∼ Λ 2 QCD ∼ 0.2 GeV/fm sets a typical scale. The second term on the right-hand-s...

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Pair production in the quantum Boltzmann equation

Cited by 35 publications

References 33 publications

Dynamical view of pair creation in uniform electric and magnetic fields

Dynamical view of pair creation in uniform electric and magnetic fields

A Quantum Kinetic Equation for Particle Production in the Schwinger Mechanism

Memory effects and thermodynamics in strong field plasmas

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