Covariant linear response theory of relativistic QED plasmas

Höll, A.; Morozov, V. G.; Röpke, G.

doi:10.1016/s0378-4371(02)01408-5

Cited by 5 publications

(7 citation statements)

References 26 publications

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“…In contrast, our approach within LRT covers the entire frequency regime consistently, is applicable to the degenerate case [59] and can also be applied to the relativistic regime [60]. An important feature of the LRT is the possibility to include medium effects in dense plasmas such as the Landau-Pomeranchuk-Migdal effect [52,53].…”

Section: E High-frequency Asymptotics and Inverse Bremsstrahlungmentioning

confidence: 99%

Optical conductivity of warm dense matter within a wide frequency range using quantum statistical and kinetic approaches

et al. 2016

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Fundamental properties of warm dense matter are described by the dielectric function, which gives access to the frequency-dependent electrical conductivity, absorption, emission and scattering of radiation, charged particles stopping and further macroscopic properties. Different approaches to the dielectric function and the related dynamical collision frequency are compared in a wide frequency range. The high-frequency limit describing inverse bremsstrahlung and the low-frequency limit of the dc conductivity are considered. Sum rules and Kramers-Kronig relation are checked for the generalized linear response theory and the standard approach following kinetic theory. The results are discussed in application to aluminum, xenon and argon plasmas.

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Section: E High-frequency Asymptotics and Inverse Bremsstrahlungmentioning

confidence: 99%

Optical conductivity of warm dense matter within a wide frequency range using quantum statistical and kinetic approaches

et al. 2016

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“…In contrast, our approach within LRT covers the entire frequency regime consistently. Note that it can also be applied to the degenerate case and to the relativistic regime, see [50]. An important feature of the LRT is the possibility to include medium effects in dense plasmas such as the Landau-Pomeranchuk-Migdal effect [51].…”

Section: High-frequency Limit: Inverse Bremsstrahlung Absorptionmentioning

confidence: 99%

Dielectric function beyond the random-phase approximation: Kinetic theory versus linear response theory

Reinholz¹,

Röpke²

2012

Phys. Rev. E

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Calculating the frequency-dependent dielectric function for strongly coupled plasmas, the relations within kinetic theory and linear response theory are derived and discussed in comparison. In this context, we give a proof that the Kohler variational principle can be extended to arbitrary frequencies. It is shown to be a special case of the Zubarev method for the construction of a nonequilibrium statistical operator from the principle of the extremum of entropy production. Within kinetic theory, the commonly used energy-dependent relaxation time approach is strictly valid only for the Lorentz plasma in the static case. It is compared with the result from linear response theory that includes electron-electron interactions and applies for arbitrary frequencies, including bremsstrahlung emission. It is shown how a general approach to linear response encompasses the different approximations and opens options for systematic improvements.

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“…An approach which considers the time evolution of the statistical operator has been elaborated recently [1,16,17]. There, a covariant density matrix approach to kinetic theory of QED plasmas subjected to a strong external electromagnetic field is given.…”

Section: Nonequilibrium Many-particle Field Theorymentioning

confidence: 99%

“…In [17], the extension of the generalized linear response theory to relativistic plasmas within the hyper-plane formalism is made, where the inverse response function is treated within perturbation theory. Beside the mean-field approximation, the inclusion of collisions is considered.…”

Section: Nonequilibrium Many-particle Field Theorymentioning

confidence: 99%

“…The calculation of the correlation functions in Born approximation was demonstrated in [17], and results for the non-relativistic inverse bremsstrahlung are recovered. The present formalism allows to improve the Bethe-Heitler result for the bremsstrahlung, which is obtained from Fermi's golden rule, by including the effects of a dense medium.…”

Section: Nonequilibrium Many-particle Field Theorymentioning

confidence: 99%

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The physics of quark‐gluon plasma and relativistic charged particle systems

Röpke

2003

Contrib. Plasma Phys.

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QED and QCD describe different systems, but show similar features. An interesting issue is the formation of bound states and their dissolution at high densities, what is described as metallization (plasma phase transition) in Coulomb systems or as hadron to quark-gluon phase transition in nuclear matter. QED and QCD LagrangiansFour fundamental interactions are known: gravitational, weak, electromagnetic and strong. It is assumed that some of these interactions can be described in a unified manner, such as "electroweak theory" or "grand unification". The outline of this paper is neither to describe the physics of the quark-gluon plasma or a relativistic charged particle system comprehensively nor to discuss the above mentioned unifications. Instead, we will discuss some similarities in the physical behavior of systems subjected to electromagnetic interaction, such as ionic plasmas, but also electron -hole plasmas in semiconductors, and systems governed by strong interaction, such as nuclear matter. Besides differences, in particular confinement, we will show that there are similar physical effects such as the formation of bound states. In equilibrium, a mass action law holds. At high densities, collective effects are of importance. The single-particle and bound states are modified by medium effects, and in particular the Pauli blocking leads to the dissolution of bound states. A transition to a new phase with delocalized fermionic particles is expected. In both cases, the possibility to form a quantum condensate is under discussion.Another important issue is that the quantum statistical description in both cases uses similar methods so that it is possible to benefit from theoretical progress from each other. Also experimental concepts to analyse the state of matter at extreme conditions can be applied in both systems.Our present knowledge on charged particle systems such as the electron -proton (or positron) system is condensed into the QED Lagrangianwheredescribes the fermionic charged particles (Dirac indices and labeling of species dropped), L EM (x) = −F µν (x)F µν (x)/4 is the Maxwell field contribution with the field-strength tensorµ (x) denotes the interaction with the current operator j µ = eψγ µ ψ. In general, a theoretical description should be relativistic and gauge invariant. The (classical) Dirac and Maxwell fields have to be quantized. For the treatment it is of use to fix the gauge, e.g. Coulomb gauge ∂ i A i = 0, in order to eliminate non-physical fields. A system of reference has to be selected out (hyper-plane formalism) which serves to define the gauge condition, the state of the system, distribution functions or the Hamiltonian.

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Covariant linear response theory of relativistic QED plasmas

Cited by 5 publications

References 26 publications

Optical conductivity of warm dense matter within a wide frequency range using quantum statistical and kinetic approaches

Optical conductivity of warm dense matter within a wide frequency range using quantum statistical and kinetic approaches

Dielectric function beyond the random-phase approximation: Kinetic theory versus linear response theory

The physics of quark‐gluon plasma and relativistic charged particle systems

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